
List of Publications

Lyapunov Exponents A Tool to Explore Complex Dynamics
A. Pikovsky, A. Politi
Cambridge University Press, 2016. ISBN: 9781107030428


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


STRANGE NONCHAOTIC ATTRACTORS Dynamics between Order and Chaos in Quasiperiodically Forced Systems
Ulrike Feudel, Sergey Kuznetsov and Arkady Pikovsky World Scientific, Singapore, 2006. ISBN 9812566333


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

2018



C. Topcu, M. Fruehwirth,
M. Moser, M. Rosenblum, and A. Pikovsky

Disentangling respiratory sinus arrhythmia in heart rate
variability records

Physiological Measurement, v. 39, n. 5, 054002 (2018)


M. Bolotov, L. Smirnov, G. Osipov, and A. Pikovsky

Simple and complex chimera states in a nonlinearly coupled oscillatory
medium

Chaos, v. 28, 045101 (2018)


A. Pikovsky

Reconstruction of a random phase dynamics network from
observations

Phys. Lett. A, v. 382, 147152 (2018)


F. Peter and A. Pikovsky

Transition to collective oscillations in finite Kuramoto ensembles

Phys Rev E, v. 97, 032310 (2018)

2017



A. V. Dolmatova, D. S. Goldobin, and A. Pikovsky

Synchronization of coupled active rotators by common noise

Phys Rev E, v. 96, 062204 (2017)


A. Pikovsky

Reconstruction of a scalar voltagebased neural field network
from observed time series

EPL, v. 119, 30004 (2017)


M. Zaks and A. Pikovsky

Chimeras and complex cluster states in arrays of spintorque oscillators

Scientific Reports, v. 7, 4648 (2017)


K. Pusuluri, A. Pikovsky, and A. Shilnikov

Unraveling the ChaosLand 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
onedimensional oscillators

Eur. Phys. J. Special Topics v. 226, 17911810 (2017)


D. S. Goldobin , A. V. Pimenova, M. Rosenblum, and
A. Pikovsky

Competing influence of common noise and
desynchronizing coupling on synchronization
in the KuramotoSakaguchi 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 closedloop 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 KuramotoBattogtokh model
 J. Phys. A: Math. Theor., v. 50, 08LT01
(2017)

2016



M. Zaks and A. Pikovsky

Frequency locking near the gluing bifurcation: Spintorque oscillator
under periodic modulation of current

Physica D, 335, 3344 (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

Mixedmode synchronization between two inhibitory neurons
with postinhibitory 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 WatanabeStrogatz integrability

J. Phys. A: Math. Theor. 49, 31LT02 (2016)


M. I. Bolotov, G. V. Osipov, and A. Pikovsky

Marginal chimera state at crossfrequency locking of pulsecoupled 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

Startype oscillatory networks with generic Kuramototype 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

Finitesizeinduced 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 nonlinear coupling

Chaos, v. 25, 043119 (2015)


V. Vlasov, M. Komarov, and A. Pikovsky

Synchronization transitions in ensembles of
noisy oscillators with biharmonic 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 meanfield 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 biharmonic
coupling function

Physica D, v. 289, 1831 (2014)


S. Lepri and A. Pikovsky

Nonreciprocal wave scattering on nonlinear stringcoupled oscillators

Chaos, v. 24, 043119 (2014)


V. P. Kruglov, S. P. Kuznetsov, A. Pikovsky

Attractor of SmaleWilliams type in autonomous distributed system

Regular and Chaotic Dynamics, v. 19, 483494 (2014)


V. Vlasov, E. E. N. Macau, and A. Pikovsky

Synchronization of oscillators in a Kuramototype model with generic coupling

Chaos, v. 24, 023120 (2014)


A. Yeldesbay, A. Pikovsky, M. Rosenblum

Chimeralike 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 derivativevariable 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, 27342739 (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 HindmarshRose neurons

Eur. Phys. J. Special Topics, v. 222, 24072416 (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 spintorque oscillators with an LCR load

Phys. Rev. E, v. 88, 032812 (2013)


G. P. Krishnan, M. Bazhenov, A. Pikovsky

Multipulse 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 SmaleWilliams type

Rus. J. Nonlin. Dyn. , v.9, n. 2, p. 267294 (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 twodimensional lattices

Phys. Rev. E, v. 86, 056214 (2012)


S. Roy, A. Pikovsky

Spreading of energy in the DingDong Model

CHAOS, v. 22, n. 2, 026118 (2012)


M. Mulansky, A. S. Pikovsky

Relocalization 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 twodimensional 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, E765E770 (2011)


Z. Levnajic, A. Pikovsky

Network reconstruction from random phaseresetting

Phys. Rev. Lett., v. 107, 034101 (2011)


S. Lück and A. Pikovsky

Dynamics of multifrequency oscillator ensembles with resonant coupling

Phys. Lett. A, v. 375, p. 27142719 (2011)


M. Mulansky, K. Ahnert, A. Pikovsky, D. Shepelyansky

Strong and weak chaos in weakly nonintegrable manybody Hamiltonian systems

J. Stat. Phys., v. 145, n. 5, p. 12561274 (2011)


B. Kralemann, A. Pikovsky, M. Rosenblum

Reconstructing phase dynamics of oscillator networks

Chaos, v. 21, 025104 (2011)


M. Komarov, A. Pikovsky

Effects of nonresonant 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, 13521361 (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, 872881


L. V. Turukina and A. Pikovsky

Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators

Phys. Lett. A, v. 375, 14071411


A. V. Straube and A. Pikovsky

Pattern Formation Induced by TimeDependent Advection

Math. Model. Nat. Phenom. Vol. 6, No. 1, 2011, pp. 138148

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 slowfast systems

The European Physical Journal  Special Topics,
v. 191, 314 (2010)


J. T. C. Schwabedal, A. Pikovsky

Effective phase description of noiseperturbed and noiseinduced oscillations

The European Physical Journal  Special Topics,
v. 187, 6376 (2010)


G. Bordyugov, A. Pikovsky, M. Rosenblum

SelfEmerging 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 noiseinduced 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, 19341940 (2009)


Karsten Ahnert, Arkady Pikovsky

Compactons and Chaos in Strongly Nonlinear Lattices

Phys. Rev. E, v. 79, 026209 (2009)


Arkady Pikovsky, Michael Rosenblum

Selforganized partially synchronous dynamics in populations of nonlinearly coupled oscillators

Physica D, v. 238, n. 1, pp. 2737

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

Mixinginduced 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 Qswitched 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, 60456056 (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

Mixinginduced global modes in open active flow

Phys. Rev. Lett. 99, 184503 (2007)


A.D.Chepelianskii, A. S. Pikovsky and D. L. Shepelyansky

Synchnonization, zeroresistance states and rotating Wigner crystal

Eur. Phys. J. B 60, 225229 (2007)


S. P. Kuznetsov and A. Pikovsky

Autonomous coupled oscillators with hyperbolic strange attractors

Physica D, 232, n. 2, 87102 (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

SelfOrganized 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, 3340 (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, 19891999 (2006)


Andreas H. Pawlik and Arkady Pikovsky

Control of oscillators coherence by multiple delayed feedback

Physics Letters A, 358, n. 3, 181185 (2006)


Denis S. Goldobin and Arkady Pikovsky

Antireliability of noisedriven neurons

Phys. Rev. E
73, 061906 (2006)


Arkady Pikovsky and Philip Rosenau

Phase Compactons

Physica D
218, 5669 (2006)


Denis S. Goldobin and Arkady Pikovsky

Effects of Delayed Feedback on Kuramoto Transition

Prog. Theor. Phys. Suppl.
161, 4352 (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 randomfield Ising chain

Phys. Rev. E,
72, 056108 (2005)


Denis S. Goldobin and Arkady Pikovsky

Synchronization and desynchronization of selfsustained oscillators by common noise

Phys. Rev. E,
71, 045201 (2005)


Denis S. Goldobin and Arkady Pikovsky

Synchronization of selfsustained oscillators by common white noise

Physica A
351, 126132 (2005)

2004



A. Straube, M. Abel, and A. Pikovsky

Temporal Chaos Versus Spatial Mixing in ReactionAdvectionDiffusion 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 selfoscillations
by common noise

Radiophysics and Quantum Electronics,
47, n. 1011, 910915 (2004)


M. Rosenblum, A. Pikovsky and J. Kurths

Synchronization approach to analysis of biological systems

Fluct. Noise Lett.,
4, n. 1, L53L62 (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

Slowfast dynamics in Josephson junctions

Eur. Phys. J B,
34, n. 3, 293303 (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, 13431351 (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 noiseinduced 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, 4011416 (2003)


A. Pikovsky and M. Rosenblum

Phase synchronization of regular and chaotic selfsustained oscillators

In: Synchronization: Theory and Application ,
eds. A. Pikovsky and Yu. Maistrenko, Kluwer, Dordrecht, 2003, pp. 187219


A. Pikovsky and M. Rosenblum

Synchronization: A general phenomenon in an oscillatory world

Nova Acta Leopoldina NF 88, Nr. 332, pp. 255268 (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, 124128 (2003)


B. Bezruchko, V. Ponomarenko, M. Rosenblum and A. Pikovsky

Characterizing direction of coupling from experimental observations

CHAOS,
13, n. 1, 179184 (2003)


A. Pikovsky and O. Popovych

Persistent patterns in deterministic mixing flows

Europhysics Letters,
61, n. 5, 625631 (2003)

2002



M. Rosenblum, A. Pikovsky, J. Kurths, G. Osipov, I. Kiss, and J. Hudson

Lockingbased 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 onedimensional disordered
systems

Europhysics Letters,
60, n. 6, 889895 (2002)


D. Topaj and A. Pikovsky

Reversibility vs synchronization in oscillator lattices

Physica D,
170, 118130 (2002)


O. Popovych, A. Pikovsky and Yu. Maistrenko

Clustersplitting bifurcation in a system of coupled maps

Physica D,
168169, 106125 (2002)


D. Goldobin and A. Pikovsky

Collective modes in parametrically excited oscillator arrays

Europhys. Lett,
59, n.2, 193198 (2002)


V. Ahlers and A. Pikovsky

Critical properties of the synchronization transition in spacetime
chaos

Phys. Rev. Lett,
88, 254101 (2002)


J. Stark, U. Feudel, P. A. Glendinning and A. Pikovsky

Rotation numbers for quasiperiodically forced monotone circle maps

Dynamical Systems
17, No. 1, pp. 128 (2002)


E. Neumann and A. Pikovsky

Quasiperiodically driven {J}osephson junctions: strange nonchaotic
attractors, symmetries and transport

European Physical J.
B 26, 219228 (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

Noiseinduced 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: Neuroinformatics, Eds. F. Moss and S. Gielen, pp. 279321,
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 modelocking regions in quasiperiodically forced
circle maps

Physica D , 140, 227243, 2000.


I. Katzorke and A. Pikovsky

Chaos and complexity in a simple model of production dynamics

Discrete Dynamics in Nature and Society, 5, 179187, 2000.


O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths
 Transcritical loss of synchronization in coupled chaotic
systems
 Physics Letters A, 275, 401406, 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, 19952007, 2000.


R. Zillmer, V. Ahlers, and A. Pikovsky

Scaling of Lyapunov exponents of coupled chaotic systems

Phys. Rev. E 61 , n. 1, 332341, 2000.


A. Pikovsky, M. Rosenblum, J. Kurths

Phase synchronization in regular and chaotic systems

Int. J. Bif. Chaos 10 , n. 10, 22912305, 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, WileyVCH, Weinheim, 1999.


H. Chate, A. Pikovsky, and O. Rudzick

Forcing Oscillatory Media: Phase Kinks vs. Synchronization

Physica D 131 , n. 14, 1730, 1999.


A. Pikovsky and S. Ruffo

Finitesize effects in a population of interacting oscillators

Phys. Rev. E 59 , n. 2, 16331636, 1999.


M. Zaks, A. Pikovsky, and J. Kurths

On the generalized dimensions for the Fourier spectrum of the ThueMorse
sequence

J. Phys. A 32 , n. 8, 15231530, 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, 4653, 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, 32913294, 1998


M. Abel, S. Flach, and A. Pikovsky

Localization in a coupled standard map
lattice

Physica D 119, n. 1, 421, 1998


S. Kuznetsov, U. Feudel, and A. Pikovsky

Renormalization group for scaling at the torusdoubling terminal point

Phys. Rev. E 57, n. 2,
15851590, 1998.


A. Pikovsky and A. Politi

Dynamic localization of Lyapunov vectors in spacetime chaos

Nonlinearity 11, n. 4, 10491062, 1998.


M. Zaks, A. Pikovsky, and J. Kurths

Symbolic dynamics behind the singular continuous power spectra of
continuous flow

Physica D 117, 7794, 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 torusdoubling bifurcation curve

Applied Nonlinear Dynamics, 5, n.6, 319, 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,
73207321, 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, 874881, 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 SolarTerrestrial System: Measurement, data
Analysis and Theoretical Models, IOS Press,
pp. 263274 (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, 680687, 1997


M. Zaks, A. Pikovsky, and J. Kurths

On the correlation dimension of the spectral measure for the ThueMorse
sequence  J. Stat. Phys. 88, n. 5/6, 1997, pp.
13871392.


A. Witt, U. Feudel, and A. Pikovsky

Birth of strange nonchaotic attractors due to interior crisis 
Physica D 109, 180190, 1997


M. Abel and A. Pikovsky

Parametric Excitation of Breathers in a Nonlinear Lattice
 Z. Naturforsch. 52a, 570572 (1997)


M. Rosenblum, A. Pikovsky, and J. Kurths

From Phase to Lag Synchronization in Coupled Chaotic Oscillators
 Phys. Rev. Lett. 78, 41934196, 1997


A. Pikovsky, G. Osipov, M. Rosenblum,
M. Zaks, and J. Kurths

AttractorRepeller Collision and Eyelet Intermittency at the
Transition to Phase Synchronization 
Phys. Rev. Lett. 79, 4750, 1997


O. Rudzick, A. Pikovsky, Ch. Scheffczyk, and J.Kurths

Dynamics of chaosorder interface in coupled map lattices, 
Physica D 103, pp. 330347, 1997


A. S. Pikovsky,
M. G. Rosenblum,
G. V. Osipov,
and J. Kurths

Phase Synchronization of Chaotic Oscillators
by External Driving 
Physica D, 104, 219238, 1997.


A. Pikovsky and J. Kurths

Coherence resonance in a noisedriven
excitable system

Phys. Rev. Lett. 78, 775778, 1997.


G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths

Phase
Synchronization Effects in a Lattice of Nonidentical
Rossler Oscillators 
Phys. Rev. E 55, 23532361, 1997

1996 


O. Rudzick and A. Pikovsky
 The Unidirectionally Coupled Map Lattice
as a Model for Open Flow Systems, 
Phys. Rev. E 54, 51075115, 1996


U. Feudel, A. Pikovsky, and A. Politi
 Renormalization of Correlations and Spectra
of a Strange Nonchaotic Attractor,  J. Phys. A, 29,
52975311, 1996.


M. Zaks, A. Pikovsky, and J. Kurths
 Steady vscous flow with fractal power spectrum

Phys. Rev. Lett., 77,
43384341, 1996


O. Sosnovtseva, U. Feudel, A. Pikovsky, J. Kurths
 Multiband strange nonchaotic attractors in quasiperiodically
forced
systems

Phys. Lett. A, 218,
255267, 1996


A. S. Pikovsky, M. G. Rosenblum, and J. Kurths
 Synchronization in a Population of Globally Coupled Chaotic
Oscillators, 
Europhysics Letters, 34, 165170, 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, 295302, 1996

 M. A. Zaks, A. S. Pikovsky and J. Kurths
 On the correlation dimension of the spectral measure for the ThueMorse sequence ,

J. Stat. Phys. 88, n. 56, 13871392, 1996

1995



Feudel U., Pikovsky A.S., and Kurths J.
 Strange nonchaotic attractor in a quasiperiodically
forced circle map 
Physica D 88, n.34, 176186, 1995


Kurths J. and Pikovsky A.S.  Symmetry breaking in distributed
systems
and modulational spatiotemporal intermittency, 
Chaos, Solitons and Fractals 5, n.10, 18931899, 1995.


A.S.Pikovsky, M.A.Zaks, U.Feudel, and J.Kurths
 Singular continuous spectra in dissipative dynamics 
Phys. Rev. E 52, n.1, 285296, 1995


U.Feudel, A.S.Pikovsky, and M.A.Zaks,  Correlation properties
of quasiperiodically
forced twolevel system  Phys. Rev. E, 51, n.3,
17621769, 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, R1629R1632, 1995.


Pikovsky A.S. and Feudel U.
 Characterization of strange nonchaotic attractors 
CHAOS, 5, n.1, 253260, 1995

1994



Pikovsky A.S. and Feudel U.
 Correlations and spectra of strange nonchaotic attractors

J. Phys. A., 27, n,15, 52095219, 1994


Pikovsky A.S., Rateitschak K., and Kurths J.  Finitesizeinduced
transition in ensemble of globally coupled oscillators 
Zeit. Physik B. 95, n.4, 541544, 1994


Pikovsky A.S. and Kurths J.  Collective behavior in
ensembles of globally coupled maps, 
Physica D, 76, 411419, 1994.


Pikovsky A.S. and Kurths J.  Roughening Interfaces
in the Dynamics of Perturbations
of Spatiotemporal Chaos  Phys. Rev. E, 49, n.1,
898901, 1994


Pikovsky A.S. and Kurths J.  Do globally coupled
maps really violate the law of large numbers?  Phys. Rev.
Lett.
72 n.11, 16441646, 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, 505506, 1993.


Starobinets I.M. and Pikovsky A.S.  Multistep method
for controlling chaos,  Physics Letters A, 181
149152, 1993.


Bohr T. and Pikovsky A.S.  Anomalous diffusion in the Kuramoto

Sivashinsky equation,  Phys. Rev. Lett., 70
28922895, 1993.


Pikovsky A.S.  Local Lyapunov Exponents for Spatiotemporal
Chaos  , CHAOS, 3, n.2, 225232, 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 679683, 1992


Zaks M.A., Pikovsky A.S.  Farey level separation in
modelocking structure
of circle mappings,  Physica D 59 255269, 1992.


Pikovsky A.S.  Discrete Model of Spatially Mixing System,

Phys.Lett.A
168 276279, 1992.

 Pikovsky A.S.  Spatial development of chaos
 In Proceedings 1st Experimental Chaos Conference ,
eds. S.Vohra, M.Spano, M.Shlesinger, L.Pecora, W.Ditto, World Scientific,
Singapore, pp.382388, 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 L477L481.

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, R3423R3426.

 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,
45874597, 1991


Pikovsky A.S.  Chaotic wavefront propagation in coupled map
lattices 
Phys. Lett. A 156, 223226, 1991


Pikovsky A.S., Zaks M.A.  On the global scaling properties of
modelocking
in a critical circle map,  Phys. Lett. A 155,
373376, 1991.


Pikovsky A.S.  Statistical properties of dynamically generated
anomalous
diffusion  Phys. Rev. A 43, 31463148, 1991


Pikovsky A.S., Shekhov V.G.  Universal behaviour of two coupled
circle maps

J. Phys. A, 24, 183190, 1991

19891990



Pikovsky A.S. 
Spacetime development of chaos in nonequilibrium medium

Radiophys. Quantum. Electron.,
33,
p. 310314, 1990.


Kuznetsov S.P.,Pikovsky A.S.  Renormalization group for the
response function
and spectrum of the perioddoubling system  Phys. Lett. A,
140,
n.4,166172, 1989.


Pikovsky A.S.  Spatial development of chaos in nonlinear
media  Phys. Lett. A,
137, n.3, 121127, 1989.


Pikovsky A.S.  Experimental study of signal chaotization in a
nonlinear
amplifier lattice  Sov. J. Commun. Technol. Electron.,
34, n.9,
19891990, 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.4145, 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,
3846, 1989.

19861988



Pikovsky A.S.  Signal chaotization in a chain of nonlinear
amplifiers,  Sov. J. Commun. Technol. Electron.,
33 n.2, 305310, 1988 (Engl. transl.:1988, n.7, pp.6165)


Pikovsky A.S.,Rozhdestvensky V.V.  Dimensionality and time of
the
transient process for
criseswithinchaos transition,  Sov.Phys.Tech.Phys.,
32, n.7,
830831, 1987.


Pikovsky A.S.  Nonlinear interaction of waves in a
inhomogeneous medium, 
Radiophys. Quantum Electron., 30, n.11, p.955958, 1987.


Pikovsky A.S.  Discretetime dynamic noise filtering, 
Sov. J. Commun. Technol. Electron., 31, 8185, 1986


Pikovsky A.S.  Influence of noise on the statistics of chaotic
oscillations, 
Radiophys.Quantum Electron., 29, n.5, 526530, 1986.


Pikovsky A.S.  Evolution of the power spectrum in the period
doubling
route to chaos,  Radiophys. Quantum. Electron., 29,
n.12, 10761083,
1986.


Pikovsky A.S.  Chaotic autowaves in excitable media,  Biophysics,
31, n.3, 538544, 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, 711, 1986.


Kuznetsov S.P.,Pikovsky A.S.  Universality and scaling of
perioddoubling
bifurcations in a dissipative distributed medium,  Physica D,
19, n.3,
384396, 1986.

19821985 


Pikovsky A.S.  Chaotic autowaves, 
Zhurn.Techn.Fiziki  Letters, 11,
n.11, 672675, 1985.


Pikovsky A.S.  Generation of chaotic waves in a linear medium
with nonlinear
discrete elements,  Radiophys.Quantum Electron., 28,
n.9, 12051208,
1985


Kuznetsov S. P. and Pikovsky A.S.  Universality of period doubling bifurcation
in onedimensional dissipative media,  Radiphysics and Quantum Electronics,
28, n.3, 205214,
1985


Pikovsky A.S.  Phase synchronization of chaotic oscillations by
a periodic
external field,  Sov. J. Commun. Technol. Electron.,
30, n.10, 19701974,
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, BerlinNY, p.343352, 1984.


Pikovsky A.S.  Excitation of random waves in a nonlinear
chain  , JETP Letters,
40, n.6, 983985, 1984.


Pikovsky A.S.  Synchronization and stochastization of the
ensamble of
autogenerators by external noise,  Radiophys.Quantum
Electron., 27,
n.5, 390395, 1984.


Matorin I.I., Pikovsky A.S., Khanin Ya.I.  Multistability and
autostochasticity in a laser with a delayedresponse active medium
subjected to periodic loss modulation, 
Sov.J.Quantum Electron., 14, n.10, 14011405, 1984


Pikovsky A.S.  On the interaction of strange attractors,
 Z.Physik B,
55, n.2, 149154, 1984.


Pikovsky A.S.  VoltAmpere characteristics
of timedependent Josephson Junction
 Zh. Techn. Fiziki,
54, n.2, 381382, 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.16011604.


Pikovsky A.S.  A new type of intermittent transition to
chaos, 
J.Phys.A:Math,Gen., 16, n.4, L109L112, 1983.


Ivanov D.V., Khanin Ya.I., Matorin I.I., Pikovsky A.S.  Chaos
in a
solidstate laser with periodically modulated losses. 
Phys. Lett. A,
89, n.5, 229230,
1982.

19781981



Pikovsky A.S., Rabinovich M.I.  Stochastic oscillations in
dissipative systems, 
Physica D, 2, 824, 1981.


Pikovsky A.S.  A dynamical model for periodic and chaotic
oscillations in
the BelousovZhabotinsky reaction,  Phys.Lett.A, 85,
n.1, 1316,
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, 165208.


Pikovsky A.S.  Nonlinear resonant twowave interaction in an
inhomogeneous
medium,,  Phys.Lett.A, 80, n.56, 367368, 1980.


Kijashko S.V., Pikovsky A.S., Rabinovich M.I.  A
radiofrequency 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.34, 177179, 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.715719, 1978.


Pikovsky A.S., Rabinovich M.I.  A simple selfsustained
generator with
stochasic behavior,,  Sov.Phys.Doklady, 23, n.3,
p.183185, 1978.

