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List of Publications
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Lyapunov Exponents
A Tool to Explore Complex Dynamics
A. Pikovsky, A. Politi
Cambridge University Press, 2016. ISBN: 978-1-107-03042-8
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SYNCHRONIZATION
A Universal Concept in Nonlinear
Sciences
A. Pikovsky, M. Rosenblum, and J. Kurths
Cambridge University Press, 2001. ISBN: 0521592852
Translations: Russian, Italian, Japanese, Chinese
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STRANGE NONCHAOTIC ATTRACTORS
Dynamics between Order and Chaos in Quasiperiodically Forced Systems
Ulrike Feudel, Sergey Kuznetsov and Arkady Pikovsky
World Scientific, Singapore, 2006. ISBN 981-256-633-3
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SYNCHRONIZATION:
Theory and Application
Eds.:
A. Pikovsky and Yu. Maistrenko
Kluwer, Dordrecht/Boston/London, 2003.
ISBN: 1402014163 (HB),1402014171 (PB)
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2023
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| M. Rosenblum and A. Pikovsky
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Inferring connectivity of an
oscillatory network via the phase
dynamics reconstruction
| Front. Netw. Physiol. 3:1298228 (2023)
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| S. Lepri, P. Politi, and A. Pikovsky
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Lattice models of random advection and diffusion and their statistics
| Phys. Rev. E, v. 108, 044150 (2023)
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| A. Pikovsky
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Deterministic active particles in the overactive limit
| Chaos, v. 33, 113114 (2023)
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| E. T. K. Mau, M. Rosenblum, and A. Pikovsky
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High-order phase reduction for coupled 2D oscillators
| Chaos, v. 33, 101101 (2023)
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| V. Chigarev, A. Kazakov, and A. Pikovsky
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Attractor-repeller collision and the
heterodimensional dynamics
| Chaos, v. 33, 063113 (2023)
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| A. Pikovsky and A. Nepmnyashchy
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Chaos in coupled heteroclinic cycles and its piecewise-constant
representation
| Physica D, v. 452, 133772 (2023)
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| A. Pikovsky and L. S. Tsimring
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Statistical theory of asymmetric damage segregation in clonal cell
populations
| Math. Biosciences, v. 358, 108980 (2023)
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| L. Smirnov and A. Pikovsky
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Travelling chimeras in
oscillator lattices with
advective-diffusive coupling
| Phil. Trans. R.
Soc. A v.381, 20220076 (2023)
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| B. Pietras, R. Cestnik and A. Pikovsky
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Exact finite-dimensional description for networks of globally coupled spiking neurons
| Phys. Rev. E, v. 107, 024315 (2023)
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| A. Pikovsky and M. Rosenblum
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Introduction to Focus Issue: Dynamics of oscillator
populations
| Chaos, v. 33, 010401 (2023)
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2022
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| R. Cestnik and A. Pikovsky
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Exact finite-dimensional reduction for a
population of noisy oscillators and its link to
Ott-Antonsen and Watanabe-Strogatz theories
| Chaos, v. 32, 113126 (2022)
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| A. Pikovsky and M. Rosenblum
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Non-pairwise Interaction in Oscillatory
Ensembles: from Theory to Data Analysis
| In: Higher-Order Systems, Ed. Federico Battiston and Giovanni Petri,
Springer (2022) pp. 181-195
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| D. I. Bolotov, M. I. Bolotov, L. A. Smirnov, G. V. Osipov and A. Pikovsky
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Synchronization regimes in an ensemble of phase oscillators
coupled through a diffusion field
| Radiophysics and Quantum Electronics, v. 64, n. 10, 709-725 (2022)
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| L. A. Smirnov, M. I. Bolotov, D. I. Bolotov, G. V. Osipov and A. Pikovsky
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Finite-density-induced motility and turbulence of chimera solitons
| New J. Phys. v. 24, 043042 (2022)
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| I. Aranson and A. Pikovsky
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Confinement and Collective Escape of Active Particles
| Phys. Rev. Lett. v. 128, 108001 (2022)
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Ch. Zheng and A. Pikovsky
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Stochastic bursting in networks of excitable units with delayed
coupling
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Biol. Cybernetics v. 116, p. 121-128 (2022) |
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| R. Cestnik and A. Pikovsky
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Hierarchy of Exact Low-Dimensional Reductions for Populations of Coupled Oscillators
| Phys. Rev. Lett. v. 128, 054101 (2022)
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| S. Lepri and A. Pikovsky
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Phase-locking dynamics of heterogeneous oscillator arrays
| Chaos, Solitons, and Fractals v. 155, 111721 (2022)
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| E. Gengel and
A. Pikovsky
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Phase reconstruction from oscillatory data with iterated Hilbert
transform embeddings?Benefits and limitations
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Physica D, v. 429, 133070 (2022)
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2021
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| M. Rosenblum, A. Pikovsky, A. A. Kühn, and L. Busch
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Real-time estimation of phase and amplitude with application to neural data
| Sci. Rep. v. 11, 18037 (2021)
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| E. Gengel and
A. Pikovsky
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Phase Reconstruction with Iterated
Hilbert Transforms
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in Book: A. Stefanovska and P. V. E. McClintock (eds.), Physics of Biological
Oscillators, Springer (2021)
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V. Chigarev, A. Kazakov, A. Pikovsky
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Mutual singularities of overlapping attractor and repeller
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Chaos, v. 31, 083127 (2021)
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Ch. Letellier, R. Abraham, D. L. Shepelyansky, O. E. R\"ossler,
P. Holmes,
R. Lozi,
L. Glass,
A. Pikovsky,
L. F. Olsen,
I. Tsuda,
C. Grebogi,
U. Parlitz, R.
Gilmore,
L. M. Pecora, and
Th. L. Carroll
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Some elements for a history of the dynamical
systems theory
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Chaos, v. 31, 053110 (2021)
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P. Rosenau and A. Pikovsky
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Waves in strongly nonlinear Gardner-like
equations on a lattice
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Nonlinearity v. 34, 5872-5896 (2021)
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A. Pikovsky
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Chimeras on a social-type network
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Math. Model. Nat. Phenom. v. 16, 15 (2021)
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L. A. Smirnov, M. I. Bolotov,
G. V. Osipov, and A. Pikovsky
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Disorder fosters chimera in an array of motile particles
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Phys. Rev. E v. 104, 034205 (2021)
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M. I. Bolotov, L. A. Smirnov, E. S. Bubnova,
G. V. Osipov, and A. S. Pikovsky
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Spatiotemporal Regimes in the Kuramoto-Battogtokh System
of Nonidentical Oscillators
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JETP, 2021, Vol. 132, No. 1, pp. 127-147 (2021) |
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A. Pikovsky
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Transition to synchrony in chiral active particles
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J. Phys. Complex., v. 2, 025009 (2021)
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C. Zheng, R. Toenjes, and A. Pikovsky
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Transition to synchrony in a three-dimensional swarming model with helical trajectories
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Phys. Rev. E, v. 104, n. 1, 014216 (2021)
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G. Cecchini, R. Cestnik, and A. Pikovsky
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Impact of local network characteristics on network reconstruction
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Phys. Rev. E, v. 103, n. 2, 022305 (2021)
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A. Pikovsky
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Synchronization of oscillators with hyperbolic chaotic phases
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Applied Nonlinear Dynamics, v. 29, n. 1, pp. 78-87 (2021)
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E. Gengel, E. Teichmann, M. Rosenblum, and A. Pikovsky
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High-order phase reduction for coupled oscillators
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J. Phys. Complex., 2, 015005 (2021)
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2020
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R. Toenjes and A. Pikovsky
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Low-dimensional description for ensembles of identical
phase oscillators subject to Cauchy noise
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Phys. Rev. E, v. 102, 052315 (2020)
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Bolotov, M. I., Smirnov, L. A., Osipov, G. V., and Pikovsky, A.
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Locking and regularization of chimeras by periodic forcing
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Phys. Rev. E, v. 102, 042218 (2020)
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Ch. Gong, R. Toenjes, and
A. Pikovsky
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Coupled Möbius maps as a tool to model Kuramoto phase synchronization
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Phys. Rev. E, v. 102, 022206 (2020)
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V. Chigarev,
A. Kazakov, and
A. Pikovsky
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Kantorovich-Rubinstein-Wasserstein distance
between overlapping attractor and repeller
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Chaos, v. 30, 073114 (2020)
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P. Rosenau and A. Pikovsky
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Solitary phase waves in a chain of autonomous
oscillators
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Chaos, v. 30, 053119 (2020)
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A. Pikovsky
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Scaling of energy spreading in a
disordered Ding-Dong lattice
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J. Stat. Mech. 053301 (2020)
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V. O. Munyaev, L. A. Smirnov, V. A. Kostin, G. V. Osipov, and A. Pikovsky
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Analytical approach to synchronous states of globally coupled noisy
rotators
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New J. Phys. v. 22, 023036 (2020)
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2019
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M. Bolotov, T. Levanova, L. Smirnov, and A. Pikovsky
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Dynamics of disordered heterogeneous chains
of phase oscillators
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Cybernetics and Physics, v. 8, n. 4, 215-221 (2019)
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D. Bolotov , M. Bolotov, L. Smirnov, G. Osipov, and A. Pikovsky
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Twisted States in a System of Nonlinearly Coupled Phase
Oscillators
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Regular and Chaotic Dynamics, v. 24, n. 6, 717-724 (2019)
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M. Rosenblum, A. Pikovsky
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Nonlinear phase coupling functions: a numerical study
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Phil. Trans. Roy. Soc. A, v. 377, n. 2160, 20190093 (2019)
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M. Rosenblum, M. Frühwirth, M. Moser, A. Pikovsky
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Dynamical
disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia
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Phil. Trans. Roy. Soc. A, v. 377, n. 2160, 20190045 (2019)
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C. Gong and A. Pikovsky
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Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles
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Phys. Rev. E, v. 100, 062210 (2019)
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F. Peter, C. Gong, and A. Pikovsky
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Microscopic correlations in the finite-size Kuramoto model of coupled oscillators
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Phys. Rev. E, v. 100, 032210 (2019)
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I. V. Tyulkina, D. S. Goldobin, and A. Pikovsky
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Stabilization of direct numerical simulation for finite
truncations of circular cumulant expansions
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IOP Conf. Series: Materials Science and Engineering, v. 581, 012008 (2019)
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M. A. Zaks and A. Pikovsky
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Synchrony breakdown and noise-induced oscillation death
in ensembles of serially connected spin-torque oscillators
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Eur. Phys. J. B, v. 92, 160 (2019)
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E. Gengel and A. Pikovsky
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Phase demodulation with iterative Hilbert transform embeddings
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Signal Processing, v. 165, pp. 115-127 (2019)
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R. J. Goldschmidt, A. Pikovsky, and A. Politi
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Blinking chimeras in globally coupled rotators
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Chaos, v. 29, n. 4, 071101 (2019)
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C. Zheng and A. Pikovsky
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Stochastic bursting in unidirectionally delay-coupled noisy excitable system
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Chaos, v. 29, n. 4, 041103 (2019)
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A. Pikovsky, A. V. Dolmatova, and D. S. Goldobin
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Correlations of the states of non-entrained oscillators in the
Kuramoto ensemble with noise in the mean field
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Radiophysics and Quantum Electronics, v. 61, n. 8-9, 672-680 (2019)
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I. V. Tyulkina, D. S. Goldobin, L. S. Klimenko, and A. Pikovsky
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Two-bunch solutions for the dynamics of Ott-Antonsen phase ensembles
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Radiophysics and Quantum Electronics, v. 61, n. 8-9, 672-680 (2019)
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C. C. Gong, C. Zheng, R. Toenjes, and A. Pikovsky
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Repulsively coupled Kuramoto-Sakaguchi phase
oscillators ensemble subject to common noise
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Chaos, v. 29, 033127 (2019)
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M. Rosenblum and A. Pikovsky
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Numerical phase reduction beyond the first order
approximation
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Chaos, v. 29, 011105 (2019)
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2018
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L. A. Smirnov, G. V. Osipov, A. Pikovsky
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Solitary synchronization waves in distributed oscillator populations
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Phys. Rev. E, v. 98, 062222 (2018)
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C. Zheng and A. Pikovsky
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Delay-induced stochastic bursting in excitable noisy systems
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Phys. Rev. E, v. 98, 042148 (2018)
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E. Grines, G. Osipov, and A. Pikovsky
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Describing dynamics of driven multistable oscillators with phase transfer
curves
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Chaos, v. 28, 106323 (2018)
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M. Rosenblum and A. Pikovsky
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Efficient determination of synchronization domains from observations
of asynchronous dynamics
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Chaos, v. 28, 106301 (2018)
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D. S. Goldobin, I. V. Tyulkina, L. S. Klimenko, and A. Pikovsky
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Collective mode reductions for populations of coupled noisy oscillators
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Chaos, v. 28, 101101 (2018)
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I. V. Tyulkina, D. S. Goldobin, L. S. Klimenko, and A. Pikovsky
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Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz
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Phys. Rev. Lett., v. 120, 264101 (2018)
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I. V. Sysoev, V. I. Ponomarenko, and A. Pikovsky
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Reconstruction of coupling architecture of neural field networks from vector time series
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Comm. Nonl. Sci. Num. Sim.
v. 57, 342-351 (2018)
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C. Topcu, M. Fruehwirth,
M. Moser, M. Rosenblum, and A. Pikovsky
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Disentangling respiratory sinus arrhythmia in heart rate
variability records
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Physiological Measurement, v. 39, n. 5, 054002 (2018)
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M. Bolotov, L. Smirnov, G. Osipov, and A. Pikovsky
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Simple and complex chimera states in a nonlinearly coupled oscillatory
medium
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Chaos, v. 28, 045101 (2018)
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A. Pikovsky
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Reconstruction of a random phase dynamics network from
observations
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Phys. Lett. A, v. 382, 147-152 (2018)
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F. Peter and A. Pikovsky
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Transition to collective oscillations in finite Kuramoto ensembles
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Phys Rev E, v. 97, 032310 (2018)
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2017
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A. V. Dolmatova, D. S. Goldobin, and A. Pikovsky
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Synchronization of coupled active rotators by common noise
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Phys Rev E, v. 96, 062204 (2017)
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A. Pikovsky
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Reconstruction of a scalar voltage-based neural field network
from observed time series
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EPL, v. 119, 30004 (2017)
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M. I. Bolotov, L. A. Smirnov, G. V. Osipov, and A. Pikovsky
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Breathing chimera in a system of phase oscillators
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JETP Letters, v. 106, p. 393 (2017)
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M. Zaks and A. Pikovsky
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Chimeras and complex cluster states in arrays of spin-torque oscillators
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Scientific Reports, v. 7, 4648 (2017)
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K. Pusuluri, A. Pikovsky, and A. Shilnikov
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Unraveling the Chaos-Land and Its
Organization in the Rabinovich System
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In book: Advances in Dynamics, Patterns, Cognition - Challenges in Complexity, Eds. Igor
S. Aranson, Arkady Pikovsky, Nikolai F. Rulkov, Lev S. Tsimring, Springer 2017 (Series
"Nonlinear Systems and Complexity")
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A. Politi, A. Pikovsky, and E. Ullner
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Chaotic macroscopic phases in
one-dimensional oscillators
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Eur. Phys. J. Special Topics v. 226, 1791-1810 (2017)
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D. S. Goldobin , A. V. Pimenova, M. Rosenblum, and
A. Pikovsky
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Competing influence of common noise and
desynchronizing coupling on synchronization
in the Kuramoto-Sakaguchi ensemble
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Eur. Phys. J. Special Topics v. 226, 1921?1937 (2017)
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X. Zhang, A. Pikovsky, and Z. Liu
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Dynamics of oscillators globally coupled via two mean fields
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Scientific Reports, v. 7, 2104 (2017)
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O. V. Popovych, B. Lysyansky, M. Rosenblum, A. Pikovsky, and P. A. Tass
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Pulsate desynchronizing delayed feedback for closed-loop deep brain stimulation
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PLoS ONE v. 12, n. 3, e0173363 (2017)
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J. Petereit and A. Pikovsky,
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Chaos synchronization by nonlinear coupling
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Commun Nonlinear Sci Numer Simulat 44, p. 344 - 351 (2017)
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L. Smirnov, G. Osipov, and A. Pikovsky,
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Chimera patterns in the Kuramoto-Battogtokh model
| J. Phys. A: Math. Theor., v. 50, 08LT01
(2017)
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2016
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M. Zaks and A. Pikovsky
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Frequency locking near the gluing bifurcation: Spin-torque oscillator
under periodic modulation of current
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Physica D, 335, 33-44 (2016)
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A. V. Pimenova, D. S. Goldobin, M. Rosenblum, and A. Pikovsky
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Interplay of coupling and common noise at the transition to synchrony in oscillator populations
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Sci. Reports 6, 38158 (2016)
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R. Nagornov, G. Osipov, M. Komarov, A. Pikovsky,
A. Shilnikov
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Mixed-mode synchronization between two inhibitory neurons
with post-inhibitory rebound
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Commun Nonlinear Sci Numer Simulat 36, p. 175 - 191 (2016)
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V. Vlasov, M. Rosenblum, and
A. Pikovsky
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Dynamics of weakly inhomogeneous
oscillator populations: perturbation theory
on top of Watanabe-Strogatz integrability
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J. Phys. A: Math. Theor. 49, 31LT02 (2016)
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M. I. Bolotov, G. V. Osipov, and A. Pikovsky
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Marginal chimera state at cross-frequency locking of pulse-coupled neural networks
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Phys. Rev. E 93, 032202 (2016)
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A. Pikovsky
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Reconstruction of a neural network from a time series of firing rates
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Phys. Rev. E 93, 062313 (2016)
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2015
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V. Vlasov, A. Pikovsky, and E. E. N. Macau
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Star-type oscillatory networks with generic Kuramoto-type coupling:
A model for Japanese drums synchrony
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Chaos 25, 123120 (2015)
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A. Pikovsky
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First and second sound in disordered
strongly nonlinear lattices:
numerical study
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J. Stat. Mech. P08007 (2015)
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A. Pikovsky, M. Rosenblum
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Dynamics of globally coupled oscillators: progress and perspectives
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Chaos, v. 25, 097616 (2015)
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A. Pikovsky
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Maximizing coherence of oscillations by external locking
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Phys. Rev. Lett. v. 115, 070602 (2015)
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A. Pikovsky
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Comment on ``Asymptotic Phase for Stochastic
Oscillators''
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Phys. Rev. Lett. v. 115, 069401 (2015)
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M. Komarov, A. Pikovsky
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Finite-size-induced transitions to synchrony in
oscillator ensembles with nonlinear global coupling
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Phys. Rev. E, v. 92, 020901(R) (2015)
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M. Rosenblum, A. Pikovsky
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Two types of quasiperiodic partial synchrony in oscillator ensembles
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Phys. Rev. E, v. 92, 012919 (2015)
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M. Komarov, A. Pikovsky
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Intercommunity resonances in multifrequency ensembles of coupled oscillators
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Phys. Rev. E, v. 92, 012906 (2015)
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C. Freitas, E. Macau, A. Pikovsky
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Partial synchronization phenomena in networks of identical oscillators with non-linear coupling
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Chaos, v. 25, 043119 (2015)
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V. Vlasov, M. Komarov, and A. Pikovsky
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Synchronization transitions in ensembles of
noisy oscillators with bi-harmonic coupling
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J. Phys. A, v. 48, 105101 (2015)
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2014
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A. Pikovsky, S. Gupta, T. N. Teles, F. P. C. Benetti, R. Pakter,
Y. Levin, and S. Ruffo
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Ensemble inequivalence in a mean-field XY
model with ferromagnetic and nematic couplings
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Phys. Rev. E, v. 90, 062141 (2014)
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M. Komarov and A. Pikovsky
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The Kuramoto model of coupled oscillators with a bi-harmonic
coupling function
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Physica D, v. 289, 18-31 (2014)
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S. Lepri and A. Pikovsky
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Nonreciprocal wave scattering on nonlinear string-coupled oscillators
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Chaos, v. 24, 043119 (2014)
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V. P. Kruglov, S. P. Kuznetsov, A. Pikovsky
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Attractor of Smale-Williams type in autonomous distributed system
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Regular and Chaotic Dynamics, v. 19, 483-494 (2014)
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V. Vlasov, E. E. N. Macau, and A. Pikovsky
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Synchronization of oscillators in a Kuramoto-type model with generic coupling
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Chaos, v. 24, 023120 (2014)
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A. Yeldesbay, A. Pikovsky, M. Rosenblum
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Chimera-like states in an ensemble of globally coupled oscillators
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Phys. Rev. Lett., v. 112, 144103 (2014)
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B. Kralemann, A. Pikovsky, M. Rosenblum
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Reconstructing effective phase connectivity of oscillator networks from observations
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New J. Phys., v. 16, 085013 (2014)
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M. Komarov, S. Gupta, A. Pikovsky
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Synchronization transitions in globally coupled rotors in presence of noise and inertia: Exact results
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EPL, v. 106, n.4, 40003 (2014)
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O. Pollatos, A. Yeldesbay, A. Pikovsky, and M. Rosenblum
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How much time has passed? Ask your heart
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Front. Neurorobot. v.8, 15 (2014)
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Z. Levnajic and A. Pikovsky
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Untangling complex dynamical systems via derivative-variable correlations
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Scientific Reports v.4, 5030 (2014)
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P. Rosenau and A. Pikovsky
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Breathers in strongly anharmonic lattices
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Phys. Rev. E 89, 022924 (2014)
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T. A. Levanova, G. V. Osipov, A. Pikovsky
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Coherence properties of cycling chaos
| Commun Nonlinear Sci Numer Simulat, v. 19, n. 8, 2734-2739 (2014);
arXiv:1310.3117 [nlin.CD] (2013)
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2013
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M. Komarov and A. Pikovsky
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Multiplicity of Singular Synchronous States in the Kuramoto Model of Coupled Oscillators
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Phys. Rev. Lett. 111, 204101 (2013)
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S. Ehrich, A. Pikovsky, and M. Rosenblum
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From complete to modulated synchrony in
networks of identical Hindmarsh-Rose neurons
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Eur. Phys. J. Special Topics, v. 222, 2407-2416 (2013)
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B. Kralemann, M. Frühwirth, A. Pikovsky, M. Rosenblum, T. Kenner, J. Schaefer, and M. Moser
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In vivo cardiac phase response curve elucidates human respiratory heart rate variability
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Nature Communications, 4, p. 2418 (2013)
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A. Pikovsky
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Robust synchronization of spin-torque oscillators with an LCR load
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Phys. Rev. E, v. 88, 032812 (2013)
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G. P. Krishnan, M. Bazhenov, A. Pikovsky
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Multi-pulse phase resetting curve
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Phys. Rev. E, v. 88, 042902 (2013)
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G. Montaseri, M. J. Yazdanpanah, A. Pikovsky, M. Rosenblum
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Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback
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Chaos, v. 23, 033122 (2013)
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V. Vlasov and A. Pikovsky
|
Synchronization of a Josephson junction array in terms of global variables
|
Phys. Rev. E, v. 88, 022908 (2013)
|
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|
O. B. Isaeva, S. P. Kuznetsov, I. R. Sataev, A. Pikovsky
|
On a bifurcation scenario of a birth of attractor of Smale-Williams type
|
Rus. J. Nonlin. Dyn. , v.9, n. 2, p. 267-294 (2013, in Russian)
|
|
|
B. Kralemann, A. Pikovsky, and M. Rosenblum
|
Detecting triplet locking by triplet synchronization indices
|
Phys. Rev. E 87, 052904 (2013)
|
|
|
J. T. C. Schwabedal and A. Pikovsky
|
Phase Description of Stochastic Oscillations
|
Phys. Rev. Lett. 110, 204102 (2013)
|
|
|
M. Mulansky and A. Pikovsky
|
Energy spreading in strongly nonlinear disordered lattices
|
New J. Phys. 15 (2013) 053015
|
|
|
M. Komarov and A. Pikovsky
|
Dynamics of Multifrequency Oscillator Communities
|
Phys. Rev. Lett. 110, 134101 (2013)
|
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|
P. V. Kuptsov, S. P. Kuznetsov, and A. Pikovsky
|
Hyperbolic chaos at blinking coupling of noisy oscillators
|
Phys. Rev. E 87, 032912 (2013) [7 pages]
|
|
2012
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|
|
M. Mulansky, A. Pikovsky
|
Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices
|
Phys. Rev. E, v. 86, 056214 (2012)
|
|
|
S. Roy, A. Pikovsky
|
Spreading of energy in the Ding-Dong Model
|
CHAOS, v. 22, n. 2, 026118 (2012)
|
|
|
M. Mulansky, A. S. Pikovsky
|
Re-localization due to finite response times in a nonlinear Anderson chain
|
Eur. Phys. J. B v. 85, 105 (2012)
|
|
|
J. Schwabedal, A. Pikovsky, B. Kralemann, M. Rosenblum
|
Optimal Phase Description of Chaotic Oscillators
|
Phys. Rev. E v. 85, 026216 (2012) [9 pages]
|
|
|
W. Braun, A. Pikovsky, M. A. Matias, P. Colet
|
Global dynamics of oscillator populations under common noise
|
EPL. v. 99, 20006 (2012)
|
|
|
P. V. Kuptsov, S. P. Kuznetsov, A. Pikovsky
|
Hyperbolic Chaos of Turing Patterns
|
Phys. Rev. Lett. v. 108, 194101 (2012)
|
|
2011
|
|
|
K. A. Blaha, A. Pikovsky, M. Rosenblum, M. T. Clark, C. G. Rusin, and J. L. Hudson
|
Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators
|
Phys. Rev. E, v. 84, n.4, 046201 (2011)
|
|
|
R. Engbert, K. Mergenthaler, P. Sinn, and A. Pikovsky
|
An integrated model of fixational eye movements
and microsaccades
|
PNAS, v. 108, n.39, E765-E770 (2011)
|
|
|
Z. Levnajic, A. Pikovsky
|
Network reconstruction from random phase-resetting
|
Phys. Rev. Lett., v. 107, 034101 (2011)
|
|
|
S. Lück and A. Pikovsky
|
Dynamics of multi-frequency oscillator ensembles with resonant coupling
|
Phys. Lett. A, v. 375, p. 2714-2719 (2011)
|
|
|
M. Mulansky, K. Ahnert, A. Pikovsky, D. Shepelyansky
|
Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems
|
J. Stat. Phys., v. 145, n. 5, p. 1256-1274 (2011)
|
|
|
B. Kralemann, A. Pikovsky, M. Rosenblum
|
Reconstructing phase dynamics of oscillator networks
|
Chaos, v. 21, 025104 (2011)
|
|
|
M. Komarov, A. Pikovsky
|
Effects of non-resonant interaction in ensembles of phase oscillators
|
Phys. Rev. E, v. 84, 016210 (2011)
|
|
|
O. Burylko, A. Pikovsky
|
Desynchronization transitions in nonlinearly coupled phase oscillators
|
Physica D, v. 240, 1352-1361 (2011)
|
|
|
A. Pikovsky and S. Fishman
|
Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices
|
Phys. Rev. E, v. 83, 025201(R) (2011)
|
|
|
M. Mulansky, K. Ahnert, A. Pikovsky
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Scaling of energy spreading in strongly nonlinear disordered lattices
|
Phys. Rev. E, v. 83, 026205 (2011)
|
|
|
O.V.Zhirov, A.S.Pikovsky, D.L.Shepelyansky
|
Quantum vacuum of strongly nonlinear lattices
|
Phys. Rev. E v. 83, 016202 (2011)
|
|
|
A. Pikovsky and M. Rosenblum
|
Dynamics of heterogeneous oscillator ensembles in terms of collective variables
|
Physica D, v. 240, 872-881
|
|
|
L. V. Turukina and A. Pikovsky
|
Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators
|
Phys. Lett. A, v. 375, 1407-1411
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|
|
A. V. Straube and A. Pikovsky
|
Pattern Formation Induced by Time-Dependent Advection
|
Math. Model. Nat. Phenom. Vol. 6, No. 1, 2011, pp. 138-148
|
|
2010
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|
|
Z. Levnajic and A. Pikovsky
|
Phase resetting of collective rhythm in ensembles of oscillators
|
Phys. Rev. E, v. 82, 056202 (2010)
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|
|
S. P. Kuznetsov, A. Pikovsky and M. Rosenblum
|
Collective phase chaos in the dynamics of interacting oscillator ensembles
| Chaos, v. 20, n.4, 043134 (2010)
|
|
|
I. Omelchenko, M. Rosenblum, and A. Pikovsky
|
Synchronization of slow-fast systems
|
The European Physical Journal - Special Topics,
v. 191, 3-14 (2010)
|
|
|
J. T. C. Schwabedal, A. Pikovsky
|
Effective phase description of noise-perturbed and noise-induced oscillations
|
The European Physical Journal - Special Topics,
v. 187, 63-76 (2010)
|
|
|
G. Bordyugov, A. Pikovsky, M. Rosenblum
|
Self-Emerging and Turbulent Chimeras in Oscillator Chains
|
Phys. Rev. E, v. 82, 035205 (2010)
|
|
|
S. Shklyaev, A. V. Straube, A. Pikovsky
|
Superexponential droplet fractalization as a hierarchical formation of dissipative compactons
|
Phys. Rev. E, v. 82, 020601 (2010)
|
|
|
Y. Baibolatov, M. Rosenblum, Z. Zh. Zhanabaev, and Arkady Pikovsky
|
Complex dynamics of an oscillator ensemble with uniformly distributed natural frequencies and global nonlinear coupling
|
Phys. Rev. E, v. 82, 016212 (2010)
|
|
|
M. Mulansky and A. Pikovsky
|
Spreading in disordered lattices with different nonlinearities
|
Europhys. Lett., v. 90, 10015 (2010)
|
|
|
J. T. C. Schwabedal and A. Pikovsky
|
Effective phase dynamics of noise-induced oscillations in excitable systems
|
Phys. Rev. E, v. 81, 046218 (2010)
|
|
2009
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|
|
M. Mulansky, K. Ahnert, A. Pikovsky, and D. L. Shepelyansky
|
Dynamical thermalization of disordered nonlinear lattices
|
Phys. Rev. E, v. 80, 056212 (2009)
|
|
|
Y. Baibolatov, M. Rosenblum, Z. Zhanabaev, M. Kyzgarina and A. Pikovsky
|
Periodically forced ensemble of nonlinearly coupled oscillators: From partial to full synchrony
|
Phys. Rev. E, v. 80, 046211 (2009)
|
|
|
D. L. Shepelyansky, A. S. Pikovsky, J. Schmidt, F. Spahn
|
Synchronization mechanism of sharp edges in rings of Saturn
|
Mon. Not. R. Astron. Soc. 395, 1934-1940 (2009)
|
|
|
Karsten Ahnert, Arkady Pikovsky
|
Compactons and Chaos in Strongly Nonlinear Lattices
|
Phys. Rev. E, v. 79, 026209 (2009)
|
|
|
Arkady Pikovsky, Michael Rosenblum
|
Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators
|
Physica D, v. 238, n. 1, pp. 27-37
|
|
2008
|
|
|
Arkady Pikovsky, Michael Rosenblum
|
Partially integrable dynamics of hierarchical populations of coupled oscillators
|
Phys. Rev. Lett. v. 101, 2264103 (2008)
|
|
|
Arthur V. Straube, Arkady Pikovsky
|
Mixing-induced activity in open flows
|
Physica Scripta T132, 014035 (2008)
|
|
|
S. Tietsche and A. Pikovsky
|
Chaotic destruction of Anderson localization in a nonlinear lattice
|
Europhysics Letters 84 n. 1, 10006 (2008)
|
|
|
S. P. Kuznetsov and A. Pikovsky
|
Hyperbolic chaos in the phase dynamics of a Q-switched oscillator
with delayed nonlinear feedbacks
|
Europhysics Letters 84 n. 1, 10013 (2008)
|
|
|
Karsten Ahnert, Arkady Pikovsky
|
Traveling waves and Compactons in Phase Oscillator Lattices
|
CHAOS 18, n. 3, 037118 (2008)
|
|
|
Natalia Tukhlina, Michael Rosenblum, Arkady Pikovsky
|
Controlling coherence of noisy and chaotic oscillators by a
linear feedback
|
Physica A 387, n. 24, 6045-6056 (2008)
|
|
|
Björn Kralemann, Laura Cimponeriu, Michael Rosenblum, Arkady Pikovsky, and Ralf Mrowka
|
Phase dynamics of coupled oscillators reconstructed from data
|
Phys. Rev. E 77, 066205 (2008)
|
|
|
Arkady Pikovsky and Dima Shepelyansky
|
Destruction of Anderson Localization by a Weak Nonlinearity
|
Phys. Rev. Lett 100, 094101 (2008)
|
|
2007
|
|
|
Björn Kralemann, Laura Cimponeriu, Michael Rosenblum, Arkady Pikovsky, and Ralf Mrowka
|
Uncovering interaction of coupled oscillators from data
|
Phys. Rev. E 76, 055201 (2007)
|
|
|
Arthur V. Straube, Arkady Pikovsky
|
Mixing-induced global modes in open active flow
|
Phys. Rev. Lett. 99, 184503 (2007)
|
|
|
A.D.Chepelianskii, A. S. Pikovsky and D. L. Shepelyansky
|
Synchnonization, zero-resistance states and rotating Wigner crystal
|
Eur. Phys. J. B 60, 225-229 (2007)
|
|
|
S. P. Kuznetsov and A. Pikovsky
|
Autonomous coupled oscillators with hyperbolic strange attractors
|
Physica D, 232, n. 2, 87-102 (2007)
|
|
|
O. V. Popovych, A. Pikovsky, and B. Eckhardt
|
Abnormal mixing of passive scalars in chaotic flows
|
Phys. Rev. E, 75, 036308 (2007)
|
|
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Michael Rosenblum and Arkady Pikovsky
|
Self-Organized Quasiperiodicity in Oscillator Ensembles with Global Nonlinear Coupling
|
Phys. Rev. Lett. 98, 064101 (2007)
|
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|
N. Tukhlina, M. Rosenblum, A. Pikovsky, and J. Kurths
|
Feedback suppression of neural synchrony by vanishing stimulation
|
Phys. Rev. E, 75, 011918 (2007)
|
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2006
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U. Parlitz, A. Pikovsky, M. Rosenblum, J. Kurths
|
Schwingungen im Gleichtakt
|
Physik Journal 5, Nr. 10, 33-40 (2006)
|
|
|
M. Rosenblum, N. Tukhlina, A. Pikovsky and L. Cimponeriu
|
Delayed Feedback Suppression of Collective Rhythmic
Activity in a Neuronal Ensemble
|
Int. J. Bifurcation and Chaos, 16, n. 7, 1989-1999 (2006)
|
|
|
Andreas H. Pawlik and Arkady Pikovsky
|
Control of oscillators coherence by multiple delayed feedback
|
Physics Letters A, 358, n. 3, 181-185 (2006)
|
|
|
Denis S. Goldobin and Arkady Pikovsky
|
Antireliability of noise-driven neurons
|
Phys. Rev. E
73, 061906 (2006)
|
|
|
Arkady Pikovsky and Philip Rosenau
|
Phase Compactons
|
Physica D
218, 56-69 (2006)
|
|
|
Denis S. Goldobin and Arkady Pikovsky
|
Effects of Delayed Feedback on Kuramoto Transition
|
Prog. Theor. Phys. Suppl.
161, 43-52 (2006)
|
|
2005
|
|
| Philip Rosenau and Arkady Pikovsky
|
Phase Compactons in Chains of Dispersively Coupled Oscillators
|
Phys. Rev. Lett.,
94, 174102 (2005)
|
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| R. Zillmer and A. Pikovsky
|
Continuous approach for the random-field Ising chain
|
Phys. Rev. E,
72, 056108 (2005)
|
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|
Denis S. Goldobin and Arkady Pikovsky
|
Synchronization and desynchronization of self-sustained oscillators by common noise
|
Phys. Rev. E,
71, 045201 (2005)
|
|
|
Denis S. Goldobin and Arkady Pikovsky
|
Synchronization of self-sustained oscillators by common white noise
|
Physica A
351, 126-132 (2005)
|
|
2004
|
|
|
A. Straube, M. Abel, and A. Pikovsky
|
Temporal Chaos Versus Spatial Mixing in Reaction-Advection-Diffusion Systems
|
Phys. Rev. Lett.,
93, n. 17, 174501 (2004)
|
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|
L. Cimponeriu, M. Rosenblum and A. Pikovsky
|
Estimation of delay in coupling from time series
|
Phys. Rev. E,
70, n. 4, 046213 (2004)
|
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|
M. Rosenblum and A. Pikovsky
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Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms
|
Phys. Rev. E,
70, n. 4, 041904 (2004)
|
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|
M. Rosenblum and A. Pikovsky
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Controlling synchronization in an ensemble of globally coupled oscillators
|
Phys. Rev. Lett.,
92, n. 11, 114102 (2004)
|
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|
D. S. Goldobin and A. S. Pikovsky
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Synchronization of periodic self-oscillations
by common noise
|
Radiophysics and Quantum Electronics,
47, n. 10-11, 910-915 (2004)
|
|
|
M. Rosenblum, A. Pikovsky and J. Kurths
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Synchronization approach to analysis of biological systems
|
Fluct. Noise Lett.,
4, n. 1, L53-L62 (2004)
|
|
2003
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|
F. Ginelli, V. Ahlers, R. Livi, D. Mukamel, A. Pikovsky, A. Politi, A. Torcini
|
From multiplicative noise to directed percolation in wetting transitions
|
Phys. Rev. E,
68, n. 6, 065102(R) (2003)
|
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E. Neumann and A. Pikovsky
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Slow-fast dynamics in Josephson junctions
|
Eur. Phys. J B,
34, n. 3, 293-303 (2003)
|
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I. Katzorke and A. Pikovsky
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Dynamics between order and chaos in a simple reentrant model of production dynamics
|
Int. J. Bifurcation and Chaos,
13, n. 5, 1343-1351 (2003)
|
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A. Pikovsky and M. Rosenblum
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Synchronization: from observatin to the theory
|
In: Historical studies in physics and mechanics.
Moscow, Nauka (2003) [In Russian]
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R. Zillmer and A. Pikovsky
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Multiscaling of noise-induced parametric instability
|
Phys. Rev. E,
67, n. 6, 061117 (2003)
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M. Rosenblum and A. Pikovsky
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Synchronization: from pendulum clocks to chaotic lasers and chemical oscillators
|
Contemporary Physics, 44, n.5, 4011-416 (2003)
|
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|
A. Pikovsky and M. Rosenblum
|
Phase synchronization of regular and chaotic self-sustained oscillators
|
In: Synchronization: Theory and Application ,
eds. A. Pikovsky and Yu. Maistrenko, Kluwer, Dordrecht, 2003, pp. 187-219
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A. Pikovsky and M. Rosenblum
|
Synchronization: A general phenomenon in an oscillatory world
|
Nova Acta Leopoldina NF 88, Nr. 332, pp. 255-268 (2003)
|
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D. Goldobin,M. Rosenblum and A. Pikovsky
|
Controlling oscillator coherence by delayed feedback
|
Phys. Rev. E,
67, n. 6, 061119 (2003)
|
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D. Goldobin,M. Rosenblum and A. Pikovsky
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Coherence of noisy oscillators with delayed feedback
|
Physica A,
327, 124-128 (2003)
|
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B. Bezruchko, V. Ponomarenko, M. Rosenblum and A. Pikovsky
|
Characterizing direction of coupling from experimental observations
|
CHAOS,
13, n. 1, 179-184 (2003)
|
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|
A. Pikovsky and O. Popovych
|
Persistent patterns in deterministic mixing flows
|
Europhysics Letters,
61, n. 5, 625-631 (2003)
|
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2002
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M. Rosenblum, A. Pikovsky, J. Kurths, G. Osipov, I. Kiss, and J. Hudson
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Locking-based frequency measurement and synchronization of chaotic
oscillators with complex dynamics
|
Phys. Rev. Lett,
89, 264102 (2002)
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R. Zillmer, V. Ahlers and A. Pikovsky
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Coupling sensitivity of localization length in one-dimensional disordered
systems
|
Europhysics Letters,
60, n. 6, 889-895 (2002)
|
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D. Topaj and A. Pikovsky
|
Reversibility vs synchronization in oscillator lattices
|
Physica D,
170, 118-130 (2002)
|
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O. Popovych, A. Pikovsky and Yu. Maistrenko
|
Cluster-splitting bifurcation in a system of coupled maps
|
Physica D,
168-169, 106-125 (2002)
|
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D. Goldobin and A. Pikovsky
|
Collective modes in parametrically excited oscillator arrays
|
Europhys. Lett,
59, n.2, 193-198 (2002)
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V. Ahlers and A. Pikovsky
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Critical properties of the synchronization transition in space-time
chaos
|
Phys. Rev. Lett,
88, 254101 (2002)
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J. Stark, U. Feudel, P. A. Glendinning and A. Pikovsky
|
Rotation numbers for quasi-periodically forced monotone circle maps
|
Dynamical Systems
17, No. 1, pp. 1-28 (2002)
|
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|
E. Neumann and A. Pikovsky
|
Quasiperiodically driven {J}osephson junctions: strange nonchaotic
attractors, symmetries and transport
|
European Physical J.
B 26, 219-228 (2002)
|
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A. Pikovsky, A. Zaikin, and M. A. de la Casa
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System size resonance in coupled noisy systems and in the
Ising model
|
Phys. Rev. Lett,
88, 050601 (2002)
|
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G. V. Osipov, A. S. Pikovsky, and J. Kurths
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Phase synchronization of chaotic rotators
|
Phys. Rev. Lett,
88, 054102 (2002)
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2001
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L. S. Tsimring and A. Pikovsky
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Noise-induced dynamics in bistable systems with delay
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Phys. Rev. Lett,
87, 250602 (2001)
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A. Pikovsky and M. Rosenblum
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Comment on "Intermittency in chaotic rotations"
|
Phys. Rev. E,
64, 058203 (2001)
|
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M. Rosenblum, A. Pikovsky, J. Kurths, C. Schaefer and P. Tass
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Phase synchronization: from theory to data analysis
|
in: Handbook of Biological Physics, Elsevier Science, Series Editor A. J.
Hoff, vol. 4: Neuro-informatics, Eds. F. Moss and S. Gielen, pp. 279-321,
2001
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E. Neumann and A. Pikovsky
|
Comment on "Simple approach to the creation of a strange nonchaotic
attractor in any chaotic system"
|
Phys. Rev. E,
64, 058201 (2001)
|
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|
M. Rosenblum and A. Pikovsky
|
Detecting direction of coupling in interacting oscillators
|
Phys. Rev. E,
64, 045202(R) (2001)
|
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|
D. Topaj, W.-H. Kye, and A. Pikovsky
|
Transition to coherence in populations of coupled chaotic oscillators: A
linear response approach
|
Phys. Rev. Lett,
87, 074101 (2001)
|
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|
A. Pikovsky, O. Popovych and Yu. Maistrenko
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Resolving clusters in chaotic ensembles
|
Phys. Rev. Lett,
87, 044102 (2001)
|
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|
O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths
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Transcritical riddling in a system of coupled maps
|
Phys. Rev. E,
63, 036201 (2001)
|
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|
A. Pikovsky and A. Politi
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Dynamic localization of Lyapunov vectors in
Hamiltonian lattices
|
Phys. Rev. E,
63, 036207 (2001)
|
|
|
V. Ahlers, R. Zillmer, and A. Pikovsky
|
Lyapunov exponents in
disordered systems: Avoided crossing and level statistics
|
Phys. Rev. E,
63, 036213 (2001)
|
|
2000
|
|---|
|
|
P. Glendinning, U. Feudel, A. Pikovsky, and J. Stark
|
The structure of mode-locking regions in quasi-periodically forced
circle maps
|
Physica D , 140, 227-243, 2000.
|
|
|
I. Katzorke and A. Pikovsky
|
Chaos and complexity in a simple model of production dynamics
|
Discrete Dynamics in Nature and Society, 5, 179-187, 2000.
|
|
|
O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths
| Transcritical loss of synchronization in coupled chaotic
systems
| Physics Letters A, 275, 401-406, 2000.
|
|
|
S. P. Kuznetsov, E. Neumann, A. Pikovsky, and I. R.
Sataev
|
Critical point of tori collision in quasiperiodically forced
systems |
Phys. Rev. E 62 , n. 2, 1995-2007, 2000.
|
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|
R. Zillmer, V. Ahlers, and A. Pikovsky
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Scaling of Lyapunov exponents of coupled chaotic systems
|
Phys. Rev. E 61 , n. 1, 332-341, 2000.
|
|
|
A. Pikovsky, M. Rosenblum, J. Kurths
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Phase synchronization in regular and chaotic systems
|
Int. J. Bif. Chaos 10 , n. 10, 2291-2305, 2000.
|
| 1999 |
|
| A. S. Pikovsky, M. G. Rosenblum, M. A. Zaks, and J.
Kurths
|
Phase Synchronization of Regular and Chaotic
Oscillators
| In Book: Handbook of Chaos Control, Ed.
H. G. Schuster, Wiley-VCH, Weinheim, 1999.
|
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|
H. Chate, A. Pikovsky, and O. Rudzick
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Forcing Oscillatory Media: Phase Kinks vs. Synchronization
|
Physica D 131 , n. 1-4, 17-30, 1999.
|
|
|
A. Pikovsky and S. Ruffo
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Finite-size effects in a population of interacting oscillators
|
Phys. Rev. E 59 , n. 2, 1633-1636, 1999.
|
|
|
M. Zaks, A. Pikovsky, and J. Kurths
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On the generalized dimensions for the Fourier spectrum of the Thue-Morse
sequence
|
J. Phys. A 32 , n. 8, 1523-1530, 1999.
|
|
1998
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|
|
M. G. Rosenblum, J. Kurths, A. Pikovsky, C. Schäfer, P.
Tass, and H.-H. Abel
|
Synchronization in noisy systems and cardiorespiratory interaction
|
Engineering in Medicine and Biology 17 , n. 6, 46-53, 1998.
|
|
|
P. Tass, M. G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A.
Schnitzler, and H.-J. Freund
|
Detection of n:m phase locking from noisy data: application to
magnetoencephalography
|
Phys. Rev. Lett. 81 , n. 15, 3291-3294, 1998
|
|
|
M. Abel, S. Flach, and A. Pikovsky
|
Localization in a coupled standard map
lattice
|
Physica D 119, n. 1, 4-21, 1998
|
|
|
S. Kuznetsov, U. Feudel, and A. Pikovsky
|
Renormalization group for scaling at the torus-doubling terminal point
|
Phys. Rev. E 57, n. 2,
1585-1590, 1998.
|
|
|
A. Pikovsky and A. Politi
|
Dynamic localization of Lyapunov vectors in space-time chaos
|
Nonlinearity 11, n. 4, 1049-1062, 1998.
|
|
|
M. Zaks, A. Pikovsky, and J. Kurths
|
Symbolic dynamics behind the singular continuous power spectra of
continuous flow
|
Physica D 117, 77-94, 1998.
|
|
1997
|
|
|
B. Bezruchko, S. Kuznetsov, A. Pikovsky, Ye. Seleznev, U. Feudel
|
On the dynamics of nonlinear systems under external quasiperiodic force
near the terminal point of the torus-doubling bifurcation curve
|
Applied Nonlinear Dynamics, 5, n.6, 3-19, 1997 (in russian)
|
|
|
A. Pikovsky and U. Feudel
|
Comment on "Strange nonchaotic attractors in
autonomous and periodically driven systems"
|
Phys. Rev. E 56, n. 6,
7320-7321, 1997.
|
|
|
M. Rosenblum, A. Pikovsky, and J. Kurths
|
Phase synchronization in driven and coupled chaotic oscillators
| IEEE Trans. Circuits and Systems I 44,
n. 10, 874-881, 1997
|
|
|
M. Rosenblum, A. Pikovsky, and J. Kurths
|
Phase synchronization of chaotic oscillators and analysis of
bivariate data
| In: Proceedings of the Int. Enrico Fermi School
Past and Present Variability of the Solar-Terrestrial System: Measurement, data
Analysis and Theoretical Models, IOS Press,
pp. 263-274 (1997)
|
|
|
A. Pikovsky, M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths
|
Phase synchronization of chaotic oscillations in terms of periodic
orbits | CHAOS 7 , n.4, 680-687, 1997
|
|
|
M. Zaks, A. Pikovsky, and J. Kurths
|
On the correlation dimension of the spectral measure for the Thue-Morse
sequence | J. Stat. Phys. 88, n. 5/6, 1997, pp.
1387-1392.
|
|
|
A. Witt, U. Feudel, and A. Pikovsky
|
Birth of strange nonchaotic attractors due to interior crisis |
Physica D 109, 180-190, 1997
|
|
|
M. Abel and A. Pikovsky
|
Parametric Excitation of Breathers in a Nonlinear Lattice
| Z. Naturforsch. 52a, 570-572 (1997)
|
|
|
M. Rosenblum, A. Pikovsky, and J. Kurths
|
From Phase to Lag Synchronization in Coupled Chaotic Oscillators
| Phys. Rev. Lett. 78, 4193-4196, 1997
|
|
|
A. Pikovsky, G. Osipov, M. Rosenblum,
M. Zaks, and J. Kurths
|
Attractor-Repeller Collision and Eyelet Intermittency at the
Transition to Phase Synchronization |
Phys. Rev. Lett. 79, 47-50, 1997
|
|
|
O. Rudzick, A. Pikovsky, Ch. Scheffczyk, and J.Kurths
|
Dynamics of chaos-order interface in coupled map lattices, |
Physica D 103, pp. 330-347, 1997
|
|
|
A. S. Pikovsky,
M. G. Rosenblum,
G. V. Osipov,
and J. Kurths
|
Phase Synchronization of Chaotic Oscillators
by External Driving |
Physica D, 104, 219-238, 1997.
|
|
|
A. Pikovsky and J. Kurths
|
Coherence resonance in a noise-driven
excitable system
|
Phys. Rev. Lett. 78, 775-778, 1997.
|
|
|
G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths
|
Phase
Synchronization Effects in a Lattice of Nonidentical
Rossler Oscillators |
Phys. Rev. E 55, 2353-2361, 1997
|
|
1996 |
|
|
O. Rudzick and A. Pikovsky
| The Unidirectionally Coupled Map Lattice
as a Model for Open Flow Systems, |
Phys. Rev. E 54, 5107-5115, 1996
|
|
|
U. Feudel, A. Pikovsky, and A. Politi
| Renormalization of Correlations and Spectra
of a Strange Nonchaotic Attractor, | J. Phys. A, 29,
5297-5311, 1996.
|
|
|
M. Zaks, A. Pikovsky, and J. Kurths
| Steady vscous flow with fractal power spectrum
|
Phys. Rev. Lett., 77,
4338-4341, 1996
|
|
|
O. Sosnovtseva, U. Feudel, A. Pikovsky, J. Kurths
| Multiband strange nonchaotic attractors in quasiperiodically
forced
systems
|
Phys. Lett. A, 218,
255-267, 1996
|
|
|
A. S. Pikovsky, M. G. Rosenblum, and J. Kurths
| Synchronization in a Population of Globally Coupled Chaotic
Oscillators, |
Europhysics Letters, 34, 165-170, 1996
|
|
|
M. G. Rosenblum, A. S. Pikovsky,
and J. Kurths
| Phase Synchronization of Chaotic Oscillators, |
Physical Review Letters, 76, 1804, 1996
|
|
|
A.S.Pikovsky, M.A.Zaks, and J.Kurths
| Complexity of a quasiperiodically driven spin system ,
|
J. Phys. A 29, 295-302, 1996
|
|
| M. A. Zaks, A. S. Pikovsky and J. Kurths
| On the correlation dimension of the spectral measure for the Thue-Morse sequence ,
|
J. Stat. Phys. 88, n. 5-6, 1387-1392, 1996
|
|
1995
|
|
|
Feudel U., Pikovsky A.S., and Kurths J.
| Strange nonchaotic attractor in a quasiperiodically
forced circle map |
Physica D 88, n.3-4, 176-186, 1995
|
|
|
Kurths J. and Pikovsky A.S. | Symmetry breaking in distributed
systems
and modulational spatio-temporal intermittency, |
Chaos, Solitons and Fractals 5, n.10, 1893-1899, 1995.
|
|
|
A.S.Pikovsky, M.A.Zaks, U.Feudel, and J.Kurths
| Singular continuous spectra in dissipative dynamics |
Phys. Rev. E 52, n.1, 285-296, 1995
|
|
|
U.Feudel, A.S.Pikovsky, and M.A.Zaks, | Correlation properties
of quasiperiodically
forced two-level system | Phys. Rev. E, 51, n.3,
1762-1769, 1995
|
|
|
Kuznetsov S.P., Pikovsky A.S., and Feudel U.
| Birth of a strange nonchaotic attractor:
a renormalization group
analysis | Phys. Rev. E, 51, n.3, R1629-R1632, 1995.
|
|
|
Pikovsky A.S. and Feudel U.
| Characterization of strange nonchaotic attractors |
CHAOS, 5, n.1, 253-260, 1995
|
|
1994
|
|
|
Pikovsky A.S. and Feudel U.
| Correlations and spectra of strange nonchaotic attractors
|
J. Phys. A., 27, n,15, 5209-5219, 1994
|
|
|
Pikovsky A.S., Rateitschak K., and Kurths J. | Finite-size-induced
transition in ensemble of globally coupled oscillators |
Zeit. Physik B. 95, n.4, 541-544, 1994
|
|
|
Pikovsky A.S. and Kurths J. | Collective behavior in
ensembles of globally coupled maps, |
Physica D, 76, 411-419, 1994.
|
|
|
Pikovsky A.S. and Kurths J. | Roughening Interfaces
in the Dynamics of Perturbations
of Spatiotemporal Chaos | Phys. Rev. E, 49, n.1,
898-901, 1994
|
|
|
Pikovsky A.S. and Kurths J. | Do globally coupled
maps really violate the law of large numbers? | Phys. Rev.
Lett.
72 n.11, 1644-1646, 1994.
|
|
|
A.S.Pikovsky | Comment on "Chaos, Noise, and
Synchronization", |
Phys. Rev. Lett., 73 n.21, 2931, 1994.
|
|
1993
|
|
|
Pikovsky A.S. | The simplest case of chaotic wave
scattering |
CHAOS, 3 n.4, 505-506, 1993.
|
|
|
Starobinets I.M. and Pikovsky A.S. | Multistep method
for controlling chaos, | Physics Letters A, 181
149-152, 1993.
|
|
|
Bohr T. and Pikovsky A.S. | Anomalous diffusion in the Kuramoto
-
Sivashinsky equation, | Phys. Rev. Lett., 70
2892-2895, 1993.
|
|
|
Pikovsky A.S. | Local Lyapunov Exponents for Spatiotemporal
Chaos | , CHAOS, 3, n.2, 225-232, 1993.
|
|
|
A.S.Pikovsky, | Comment on "Noisy uncoupled chaotic map
ensembles violate the law
of large numbers", | Phys. Rev. Lett., 71 , n.4, 653,
1993.
|
|
1992
|
|
|
Leviev G.I., Pikovsky A.S., Cooke D.W. | Response of granular
superconductors to large amplitude microwave fields |
Superconductor Science and Technology, 5 679-683, 1992
|
|
|
Zaks M.A., Pikovsky A.S. | Farey level separation in
mode-locking structure
of circle mappings, | Physica D 59 255-269, 1992.
|
|
|
Pikovsky A.S. | Discrete Model of Spatially Mixing System,
|
Phys.Lett.A
168 276-279, 1992.
|
|
| Pikovsky A.S. | Spatial development of chaos
| In Proceedings 1-st Experimental Chaos Conference ,
eds. S.Vohra, M.Spano, M.Shlesinger, L.Pecora, W.Ditto, World Scientific,
Singapore, pp.382-388, 1992.
|
|
|
Pikovsky A.S. | Statistics of trajectory separation in noisy
dynamical
systems | Phys. Lett. A 165 33, 1992
|
|
|
Pikovsky A.S. | Escape exponent for transient chaos and chaotic
scattering
in nonhyperbolic Hamiltonian systems | J. Phys. A: Math. Gen.
1992
25 L477-L481.
|
|
1991
|
|
|
F.Benvenuto, G.Casati, A.S.Pikovsky, D.L.Shepelyansky. |
Manifestations of
quantum and classical chaos in nonlinear wave propagation, |
Phys. Rev. A
1991 44 n.6, R3423-R3426.
|
|
| Pikovsky A.S. | Does dimension grow in flow
systems?
| In: Spontaneous Formation of Space - Time
Structures and Criticality, eds. T.Riste and D.Sherrington, Kluwer,
Dordrecht,
1991.
|
|
|
Pikovsky A.S., Grassberger P. | Symmetry breaking bifurcation
for
coupled chaotic attractors | J. Phys. A 24, n.19,
4587-4597, 1991
|
|
|
Pikovsky A.S. | Chaotic wavefront propagation in coupled map
lattices |
Phys. Lett. A 156, 223-226, 1991
|
|
|
Pikovsky A.S., Zaks M.A. | On the global scaling properties of
mode-locking
in a critical circle map, | Phys. Lett. A 155,
373-376, 1991.
|
|
|
Pikovsky A.S. | Statistical properties of dynamically generated
anomalous
diffusion | Phys. Rev. A 43, 3146-3148, 1991
|
|
|
Pikovsky A.S., Shekhov V.G. | Universal behaviour of two coupled
circle maps
|
J. Phys. A, 24, 183-190, 1991
|
|
1989-1990
|
|
|
Pikovsky A.S. |
Space-time development of chaos in nonequilibrium medium
|
Radiophys. Quantum. Electron.,
33,
p. 310-314, 1990.
|
|
|
Kuznetsov S.P.,Pikovsky A.S. | Renormalization group for the
response function
and spectrum of the period-doubling system | Phys. Lett. A,
140,
n.4,166-172, 1989.
|
|
|
Pikovsky A.S. | Spatial development of chaos in nonlinear
media | Phys. Lett. A,
137, n.3, 121-127, 1989.
|
|
|
Pikovsky A.S. | Experimental study of signal chaotization in a
nonlinear
amplifier lattice | Sov. J. Commun. Technol. Electron.,
34, n.9,
1989-1990, 1989.
|
|
|
Kuznetsov S.P., Pikovsky A.S. | Transition from a symmetric to a
nonsymmetric
regime under conditions of randomness dynamics in a system of dissipatively
coupled recurrence mappings | Radiophys. Quantum. Electron.,
32, n.1,
p.41-45, 1989.
|
|
|
Ginzburg N.S., Pikovsky A.S., Sergeev A.S. | Randomization of
electromagnetic
radiation in the systems with convective instability of the electronic
beam | Sov. J. Commun. Tecnol. Electron., 34, n.16,
38-46, 1989.
|
|
1986-1988
|
|
|
Pikovsky A.S. | Signal chaotization in a chain of nonlinear
amplifiers, | Sov. J. Commun. Technol. Electron.,
33 n.2, 305-310, 1988 (Engl. transl.:1988, n.7, pp.61-65)
|
|
|
Pikovsky A.S.,Rozhdestvensky V.V. | Dimensionality and time of
the
transient process for
crises-within-chaos transition, | Sov.Phys.-Tech.Phys.,
32, n.7,
830-831, 1987.
|
|
|
Pikovsky A.S. | Nonlinear interaction of waves in a
inhomogeneous medium, |
Radiophys. Quantum Electron., 30, n.11, p.955-958, 1987.
|
|
|
Pikovsky A.S. | Discrete-time dynamic noise filtering, |
Sov. J. Commun. Technol. Electron., 31, 81-85, 1986
|
|
|
Pikovsky A.S. | Influence of noise on the statistics of chaotic
oscillations, |
Radiophys.Quantum Electron., 29, n.5, 526-530, 1986.
|
|
|
Pikovsky A.S. | Evolution of the power spectrum in the period
doubling
route to chaos, | Radiophys. Quantum. Electron., 29,
n.12, 1076-1083,
1986.
|
|
|
Pikovsky A.S. | Chaotic autowaves in excitable media, | Biophysics,
31, n.3, 538-544, 1986.
|
|
|
Il'kova L.Sh., Kravtsov Ju.A., Pikovsky A.S. | Identifying the
degree of
determinism of experimentally observed chaotic modes. |
Sov. Phys. - Lebedev Inst. Rep., n.11, 7-11, 1986.
|
|
|
Kuznetsov S.P.,Pikovsky A.S. | Universality and scaling of
period-doubling
bifurcations in a dissipative distributed medium, | Physica D,
19, n.3,
384-396, 1986.
|
| 1982-1985 |
|
|
Pikovsky A.S. | Chaotic autowaves, |
Zhurn.Techn.Fiziki - Letters, 11,
n.11, 672-675, 1985.
|
|
|
Pikovsky A.S. | Generation of chaotic waves in a linear medium
with nonlinear
discrete elements, | Radiophys.Quantum Electron., 28,
n.9, 1205-1208,
1985
|
|
|
Kuznetsov S. P. and Pikovsky A.S. | Universality of period doubling bifurcation
in one-dimensional dissipative media, | Radiphysics and Quantum Electronics,
28, n.3, 205-214,
1985
|
|
|
Pikovsky A.S. | Phase synchronization of chaotic oscillations by
a periodic
external field, | Sov. J. Commun. Technol. Electron.,
30, n.10, 1970-1974,
1985
|
|
|
Pikovsky A.S., Rabinovich M.I. | Stochastic dissipative
structures. | In:
Thermodynamics and regulation of biological processes, ed. I.Lamprecht,
A.I.Zotin, Walter de Guyter, Berlin-NY, p.343-352, 1984.
|
|
|
Pikovsky A.S. | Excitation of random waves in a nonlinear
chain | , JETP Letters,
40, n.6, 983-985, 1984.
|
|
|
Pikovsky A.S. | Synchronization and stochastization of the
ensamble of
autogenerators by external noise, | Radiophys.Quantum
Electron., 27,
n.5, 390-395, 1984.
|
|
|
Matorin I.I., Pikovsky A.S., Khanin Ya.I. | Multistability and
autostochasticity in a laser with a delayed-response active medium
subjected to periodic loss modulation, |
Sov.J.Quantum Electron., 14, n.10, 1401-1405, 1984
|
|
|
Pikovsky A.S. | On the interaction of strange attractors,
| Z.Physik B,
55, n.2, 149-154, 1984.
|
|
|
Pikovsky A.S. | Volt-Ampere characteristics
of time-dependent Josephson Junction
| Zh. Techn. Fiziki,
54, n.2, 381-382, 1984.
|
|
|
Pikovsky A.S. | Synchronization and stochastization of nonlinear
oscillations
by external noise. | In:Nonlinear and Turbulent
Processes
in
Physics,
ed. R.Z.Sagdeev, Harwood Acad. Publ., 1984, v.3, p.1601-1604.
|
|
|
Pikovsky A.S. | A new type of intermittent transition to
chaos, |
J.Phys.A:Math,Gen., 16, n.4, L109-L112, 1983.
|
|
|
Ivanov D.V., Khanin Ya.I., Matorin I.I., Pikovsky A.S. | Chaos
in a
solid-state laser with periodically modulated losses. |
Phys. Lett. A,
89, n.5, 229-230,
1982.
|
1978-1981
|
|---|
|
|
Pikovsky A.S., Rabinovich M.I. | Stochastic oscillations in
dissipative systems, |
Physica D, 2, 8-24, 1981.
|
|
|
Pikovsky A.S. | A dynamical model for periodic and chaotic
oscillations in
the Belousov-Zhabotinsky reaction, | Phys.Lett.A, 85,
n.1, 13-16,
1981.
|
|
|
Pikovsky A.S., Rabinovich M.I. | Stochastic behavior of
dissipative systems, |
In: Soviet Scientific Reviews, sec. C - Mathematical Physics Reviews,
ed. S.P.Novikov, vol.2, Harwood Acad. Publ., 1981, 165-208.
|
|
|
Pikovsky A.S. | Nonlinear resonant two-wave interaction in an
inhomogeneous
medium,, | Phys.Lett.A, 80, n.5-6, 367-368, 1980.
|
|
|
Kijashko S.V., Pikovsky A.S., Rabinovich M.I. | A
radio-frequency generator
with stochastic behavior | Radio engineering and electronic
physics, 25, n.2,
1980.
|
|
|
Gorshkov K.A., Ostrovsky L.A., Papko V.V., Pikovsky A.S. | On
the existence
of stationary multisolitons,, | Phys.Lett.A, 74,
n.3-4, 177-179, 1979.
|
|
|
Pikovsky A.S. and Rabinovich M. I. | On
strange attractors in physics (in Russian)
| in Book: Nonlinear Waves, Editor: A. V. Gaponov-Grekhov,
Nauka Publishing,
Moscow, 1979, pp. 176-192.
|
|
|
Pikovsky A.S., Rabinovich M.I., Trakhtengerts V.Ju. | Appearance
of chaos at
decay saturation of parametric instability,, | Sov.Phys.-JETP,
47, n.4,
p.715-719, 1978.
|
|
|
Pikovsky A.S., Rabinovich M.I. | A simple self-sustained
generator with
stochasic behavior,, | Sov.Phys.Doklady, 23, n.3,
p.183-185, 1978.
| |
|