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Arkady Pikovsky Universität Potsdam
Group "Statistical Physics / Theory of Chaos" Department of Physics

List of Publications


Lyapunov Exponents
A Tool to Explore Complex Dynamics

A. Pikovsky, A. Politi
Cambridge University Press, 2016. ISBN: 978-1-107-03042-8
SYNCHRONIZATION
A Universal Concept in Nonlinear Sciences

A. Pikovsky, M. Rosenblum, and J. Kurths
Cambridge University Press, 2001. ISBN: 0521592852
Translations: Russian, Italian, Japanese
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
SYNCHRONIZATION:
Theory and Application

Eds.: A. Pikovsky and Yu. Maistrenko
Kluwer, Dordrecht/Boston/London, 2003.
ISBN: 1402014163 (HB),1402014171 (PB)

| 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 |
2000 | |1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1989-90 | 1986-88 | 1982-85 | 1978-81 |

2017
M. Zaks and A. Pikovsky Chimeras and complex cluster states in arrays of spin-torque oscillators Scientific Reports, v. 7, 4648 (2017)
K. Pusuluri, A. Pikovsky, and A. Shilnikov Unraveling the Chaos-Land and Its Organization in the Rabinovich System 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")
A. Politi, A. Pikovsky, and E. Ullner Chaotic macroscopic phases in one-dimensional oscillators Eur. Phys. J. Special Topics v. 226, 1791-1810 (2017)
D. S. Goldobin , A. V. Pimenova, M. Rosenblum, and A. Pikovsky Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble Eur. Phys. J. Special Topics v. 226, 1921?1937 (2017)
X. Zhang, A. Pikovsky, and Z. Liu Dynamics of oscillators globally coupled via two mean fields Scientific Reports, v. 7, 2104 (2017)
O. V. Popovych, B. Lysyansky, M. Rosenblum, A. Pikovsky, and P. A. Tass Pulsate desynchronizing delayed feedback for closed-loop deep brain stimulation PLoS ONE v. 12, n. 3, e0173363 (2017)
J. Petereit and A. Pikovsky, Chaos synchronization by nonlinear coupling Commun Nonlinear Sci Numer Simulat 44, p. 344 - 351 (2017)
L. Smirnov, G. Osipov, and A. Pikovsky, Chimera patterns in the Kuramoto?Battogtokh model J. Phys. A: Math. Theor., v. 50, 08LT01 (2017)
2016
M. Zaks and A. Pikovsky Frequency locking near the gluing bifurcation: Spin-torque oscillator under periodic modulation of current Physica D, 335, 33-44 (2016)
A. V. Pimenova, D. S. Goldobin, M. Rosenblum, and A. Pikovsky Interplay of coupling and common noise at the transition to synchrony in oscillator populations Sci. Reports 6, 38158 (2016)
R. Nagornov, G. Osipov, M. Komarov, A. Pikovsky, A. Shilnikov Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound Commun Nonlinear Sci Numer Simulat 36, p. 175 - 191 (2016)
V. Vlasov, M. Rosenblum, and A. Pikovsky Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe?Strogatz integrability J. Phys. A: Math. Theor. 49, 31LT02 (2016)
M. I. Bolotov, G. V. Osipov, and A. Pikovsky Marginal chimera state at cross-frequency locking of pulse-coupled neural networks Phys. Rev. E 93, 032202 (2016)
A. Pikovsky Reconstruction of a neural network from a time series of firing rates Phys. Rev. E 93, 062313 (2016)
2015
V. Vlasov, A. Pikovsky, and E. E. N. Macau Star-type oscillatory networks with generic Kuramoto-type coupling: A model for Japanese drums synchrony Chaos 25, 123120 (2015)
A. Pikovsky First and second sound in disordered strongly nonlinear lattices: numerical study J. Stat. Mech. P08007 (2015)
A. Pikovsky, M. Rosenblum Dynamics of globally coupled oscillators: progress and perspectives Chaos, v. 25, 097616 (2015)
A. Pikovsky Maximizing coherence of oscillations by external locking Phys. Rev. Lett. v. 115, 070602 (2015)
A. Pikovsky Comment on ``Asymptotic Phase for Stochastic Oscillators'' Phys. Rev. Lett. v. 115, 069401 (2015)
M. Komarov, A. Pikovsky Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling Phys. Rev. E, v. 92, 020901(R) (2015)
M. Rosenblum, A. Pikovsky Two types of quasiperiodic partial synchrony in oscillator ensembles Phys. Rev. E, v. 92, 012919 (2015)
M. Komarov, A. Pikovsky Intercommunity resonances in multifrequency ensembles of coupled oscillators Phys. Rev. E, v. 92, 012906 (2015)
C. Freitas, E. Macau, A. Pikovsky Partial synchronization phenomena in networks of identical oscillators with non-linear coupling Chaos, v. 25, 043119 (2015)
V. Vlasov, M. Komarov, and A. Pikovsky Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling J. Phys. A, v. 48, 105101 (2015)
2014
A. Pikovsky, S. Gupta, T. N. Teles, F. P. C. Benetti, R. Pakter, Y. Levin, and S. Ruffo Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings Phys. Rev. E, v. 90, 062141 (2014)
M. Komarov and A. Pikovsky The Kuramoto model of coupled oscillators with a bi-harmonic coupling function Physica D, v. 289, 18-31 (2014)
S. Lepri and A. Pikovsky Nonreciprocal wave scattering on nonlinear string-coupled oscillators Chaos, v. 24, 043119 (2014)
V. P. Kruglov, S. P. Kuznetsov, A. Pikovsky Attractor of Smale-Williams type in autonomous distributed system Regular and Chaotic Dynamics, v. 19, 483-494 (2014)
V. Vlasov, E. E. N. Macau, and A. Pikovsky Synchronization of oscillators in a Kuramoto-type model with generic coupling Chaos, v. 24, 023120 (2014)
A. Yeldesbay, A. Pikovsky, M. Rosenblum Chimera-like states in an ensemble of globally coupled oscillators Phys. Rev. Lett., v. 112, 144103 (2014)
B. Kralemann, A. Pikovsky, M. Rosenblum Reconstructing effective phase connectivity of oscillator networks from observations New J. Phys., v. 16, 085013 (2014)
M. Komarov, S. Gupta, A. Pikovsky Synchronization transitions in globally coupled rotors in presence of noise and inertia: Exact results EPL, v. 106, n.4, 40003 (2014)
O. Pollatos, A. Yeldesbay, A. Pikovsky, and M. Rosenblum How much time has passed? Ask your heart Front. Neurorobot. v.8, 15 (2014)
Z. Levnajic and A. Pikovsky Untangling complex dynamical systems via derivative-variable correlations Scientific Reports v.4, 5030 (2014)
P. Rosenau and A. Pikovsky Breathers in strongly anharmonic lattices Phys. Rev. E 89, 022924 (2014)
T. A. Levanova, G. V. Osipov, A. Pikovsky Coherence properties of cycling chaos Commun Nonlinear Sci Numer Simulat, v. 19, n. 8, 2734-2739 (2014); arXiv:1310.3117 [nlin.CD] (2013)
2013
M. Komarov and A. Pikovsky Multiplicity of Singular Synchronous States in the Kuramoto Model of Coupled Oscillators Phys. Rev. Lett. 111, 204101 (2013)
S. Ehrich, A. Pikovsky, and M. Rosenblum From complete to modulated synchrony in networks of identical Hindmarsh-Rose neurons Eur. Phys. J. Special Topics, v. 222, 2407-2416 (2013)
B. Kralemann, M. Frühwirth, A. Pikovsky, M. Rosenblum, T. Kenner, J. Schaefer, and M. Moser In vivo cardiac phase response curve elucidates human respiratory heart rate variability Nature Communications, 4, p. 2418 (2013)
A. Pikovsky Robust synchronization of spin-torque oscillators with an LCR load Phys. Rev. E, v. 88, 032812 (2013)
G. P. Krishnan, M. Bazhenov, A. Pikovsky Multi-pulse phase resetting curve Phys. Rev. E, v. 88, 042902 (2013)
G. Montaseri, M. J. Yazdanpanah, A. Pikovsky, M. Rosenblum Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback Chaos, v. 23, 033122 (2013)
V. Vlasov and A. Pikovsky Synchronization of a Josephson junction array in terms of global variables Phys. Rev. E, v. 88, 022908 (2013)
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)
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
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 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
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
Z. Levnajic and A. Pikovsky Phase resetting of collective rhythm in ensembles of oscillators Phys. Rev. E, v. 82, 056202 (2010)
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
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)
Michael Rosenblum and Arkady Pikovsky Self-Organized Quasiperiodicity in Oscillator Ensembles with Global Nonlinear Coupling Phys. Rev. Lett. 98, 064101 (2007)
N. Tukhlina, M. Rosenblum, A. Pikovsky, and J. Kurths Feedback suppression of neural synchrony by vanishing stimulation Phys. Rev. E, 75, 011918 (2007)
2006
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)
R. Zillmer and A. Pikovsky Continuous approach for the random-field Ising chain Phys. Rev. E, 72, 056108 (2005)
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)
L. Cimponeriu, M. Rosenblum and A. Pikovsky Estimation of delay in coupling from time series Phys. Rev. E, 70, n. 4, 046213 (2004)
M. Rosenblum and A. Pikovsky Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms Phys. Rev. E, 70, n. 4, 041904 (2004)
M. Rosenblum and A. Pikovsky Controlling synchronization in an ensemble of globally coupled oscillators Phys. Rev. Lett., 92, n. 11, 114102 (2004)
D. S. Goldobin and A. S. Pikovsky 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 Synchronization approach to analysis of biological systems Fluct. Noise Lett., 4, n. 1, L53-L62 (2004)
2003
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)
E. Neumann and A. Pikovsky Slow-fast dynamics in Josephson junctions Eur. Phys. J B, 34, n. 3, 293-303 (2003)
I. Katzorke and A. Pikovsky Dynamics between order and chaos in a simple reentrant model of production dynamics Int. J. Bifurcation and Chaos, 13, n. 5, 1343-1351 (2003)
A. Pikovsky and M. Rosenblum Synchronization: from observatin to the theory In: Historical studies in physics and mechanics. Moscow, Nauka (2003) [In Russian]
R. Zillmer and A. Pikovsky Multiscaling of noise-induced parametric instability Phys. Rev. E, 67, n. 6, 061117 (2003)
M. Rosenblum and A. Pikovsky Synchronization: from pendulum clocks to chaotic lasers and chemical oscillators Contemporary Physics, 44, n.5, 4011-416 (2003)
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
A. Pikovsky and M. Rosenblum Synchronization: A general phenomenon in an oscillatory world Nova Acta Leopoldina NF 88, Nr. 332, pp. 255-268 (2003)
D. Goldobin,M. Rosenblum and A. Pikovsky Controlling oscillator coherence by delayed feedback Phys. Rev. E, 67, n. 6, 061119 (2003)
D. Goldobin,M. Rosenblum and A. Pikovsky Coherence of noisy oscillators with delayed feedback Physica A, 327, 124-128 (2003)
B. Bezruchko, V. Ponomarenko, M. Rosenblum and A. Pikovsky Characterizing direction of coupling from experimental observations CHAOS, 13, n. 1, 179-184 (2003)
A. Pikovsky and O. Popovych Persistent patterns in deterministic mixing flows Europhysics Letters, 61, n. 5, 625-631 (2003)
2002
M. Rosenblum, A. Pikovsky, J. Kurths, G. Osipov, I. Kiss, and J. Hudson Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics Phys. Rev. Lett, 89, 264102 (2002)
R. Zillmer, V. Ahlers and A. Pikovsky Coupling sensitivity of localization length in one-dimensional disordered systems Europhysics Letters, 60, n. 6, 889-895 (2002)
D. Topaj and A. Pikovsky Reversibility vs synchronization in oscillator lattices Physica D, 170, 118-130 (2002)
O. Popovych, A. Pikovsky and Yu. Maistrenko Cluster-splitting bifurcation in a system of coupled maps Physica D, 168-169, 106-125 (2002)
D. Goldobin and A. Pikovsky Collective modes in parametrically excited oscillator arrays Europhys. Lett, 59, n.2, 193-198 (2002)
V. Ahlers and A. Pikovsky Critical properties of the synchronization transition in space-time chaos Phys. Rev. Lett, 88, 254101 (2002)
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)
E. Neumann and A. Pikovsky Quasiperiodically driven {J}osephson junctions: strange nonchaotic attractors, symmetries and transport European Physical J. B 26, 219-228 (2002)
A. Pikovsky, A. Zaikin, and M. A. de la Casa System size resonance in coupled noisy systems and in the Ising model Phys. Rev. Lett, 88, 050601 (2002)
G. V. Osipov, A. S. Pikovsky, and J. Kurths Phase synchronization of chaotic rotators Phys. Rev. Lett, 88, 054102 (2002)
2001
L. S. Tsimring and A. Pikovsky Noise-induced dynamics in bistable systems with delay Phys. Rev. Lett, 87, 250602 (2001)
A. Pikovsky and M. Rosenblum Comment on "Intermittency in chaotic rotations" Phys. Rev. E, 64, 058203 (2001)
M. Rosenblum, A. Pikovsky, J. Kurths, C. Schaefer and P. Tass 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
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)
M. Rosenblum and A. Pikovsky Detecting direction of coupling in interacting oscillators Phys. Rev. E, 64, 045202(R) (2001)
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)
A. Pikovsky, O. Popovych and Yu. Maistrenko Resolving clusters in chaotic ensembles Phys. Rev. Lett, 87, 044102 (2001)
O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths Transcritical riddling in a system of coupled maps Phys. Rev. E, 63, 036201 (2001)
A. Pikovsky and A. Politi 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.
R. Zillmer, V. Ahlers, and A. Pikovsky Scaling of Lyapunov exponents of coupled chaotic systems Phys. Rev. E 61 , n. 1, 332-341, 2000.
A. Pikovsky, M. Rosenblum, J. Kurths 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.
H. Chate, A. Pikovsky, and O. Rudzick Forcing Oscillatory Media: Phase Kinks vs. Synchronization Physica D 131 , n. 1-4, 17-30, 1999.
A. Pikovsky and S. Ruffo 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 On the generalized dimensions for the Fourier spectrum of the Thue-Morse sequence J. Phys. A 32 , n. 8, 1523-1530, 1999.
1998
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, 576-581, 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., 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.