Arkady Pikovsky, PhD - Publications

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190 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2023 Mau ETK, Rosenblum M, Pikovsky A. High-order phase reduction for coupled 2D oscillators. Chaos (Woodbury, N.Y.). 33. PMID 37831797 DOI: 10.1063/5.0169008  0.392
2023 Pimenova AV, Goldobin DS, Rosenblum M, Pikovsky A. Author Correction: Interplay of coupling and common noise at the transition to synchrony in oscillator populations. Scientific Reports. 13: 8327. PMID 37221213 DOI: 10.1038/s41598-023-35268-4  0.326
2023 Pikovsky A, Rosenblum M. Introduction to Focus Issue: Dynamics of oscillator populations. Chaos (Woodbury, N.Y.). 33: 010401. PMID 36725636 DOI: 10.1063/5.0139277  0.302
2022 Cestnik R, Pikovsky A. Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott-Antonsen and Watanabe-Strogatz theories. Chaos (Woodbury, N.Y.). 32: 113126. PMID 36456354 DOI: 10.1063/5.0106171  0.373
2022 Cestnik R, Pikovsky A. Hierarchy of Exact Low-Dimensional Reductions for Populations of Coupled Oscillators. Physical Review Letters. 128: 054101. PMID 35179937 DOI: 10.1103/PhysRevLett.128.054101  0.362
2020 Tönjes R, Pikovsky A. Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise. Physical Review. E. 102: 052315. PMID 33327137 DOI: 10.1103/PhysRevE.102.052315  0.317
2020 Gong CC, Toenjes R, Pikovsky A. Coupled Möbius maps as a tool to model Kuramoto phase synchronization. Physical Review. E. 102: 022206. PMID 32942495 DOI: 10.1103/Physreve.102.022206  0.461
2020 Chigarev V, Kazakov A, Pikovsky A. Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller. Chaos (Woodbury, N.Y.). 30: 073114. PMID 32752643 DOI: 10.1063/5.0007230  0.378
2020 Rosenau P, Pikovsky A. Solitary phase waves in a chain of autonomous oscillators. Chaos (Woodbury, N.Y.). 30: 053119. PMID 32491900 DOI: 10.1063/1.5144939  0.403
2020 Pikovsky A. Scaling of energy spreading in a disordered Ding-Dong lattice Journal of Statistical Mechanics: Theory and Experiment. 2020: 53301. DOI: 10.1088/1742-5468/Ab7E30  0.374
2019 Gong CC, Pikovsky A. Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles. Physical Review. E. 100: 062210. PMID 31962527 DOI: 10.1103/Physreve.100.062210  0.493
2019 Rosenblum M, Pikovsky A. Nonlinear phase coupling functions: a numerical study. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 377: 20190093. PMID 31656143 DOI: 10.1098/Rsta.2019.0093  0.447
2019 Rosenblum M, Frühwirth M, Moser M, Pikovsky A. Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia Philosophical Transactions of the Royal Society A. 377: 20190045. PMID 31656138 DOI: 10.1098/Rsta.2019.0045  0.4
2019 Peter F, Gong CC, Pikovsky A. Microscopic correlations in the finite-size Kuramoto model of coupled oscillators. Physical Review. E. 100: 032210. PMID 31639966 DOI: 10.1103/Physreve.100.032210  0.453
2019 Goldschmidt RJ, Pikovsky A, Politi A. Blinking chimeras in globally coupled rotators. Chaos (Woodbury, N.Y.). 29: 071101. PMID 31370417 DOI: 10.1063/1.5105367  0.586
2019 Zheng C, Pikovsky A. Stochastic bursting in unidirectionally delay-coupled noisy excitable systems. Chaos (Woodbury, N.Y.). 29: 041103. PMID 31042942 DOI: 10.1063/1.5093180  0.444
2019 Gong CC, Zheng C, Toenjes R, Pikovsky A. Repulsively coupled Kuramoto-Sakaguchi phase oscillators ensemble subject to common noise. Chaos (Woodbury, N.Y.). 29: 033127. PMID 30927833 DOI: 10.1063/1.5084144  0.489
2019 Rosenblum M, Pikovsky A. Numerical phase reduction beyond the first order approximation. Chaos (Woodbury, N.Y.). 29: 011105. PMID 30709152 DOI: 10.1063/1.5079617  0.463
2019 Zaks MA, Pikovsky A. Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators The European Physical Journal B. 92. DOI: 10.1140/Epjb/E2019-100152-2  0.421
2019 Bolotov D, Bolotov M, Smirnov L, Osipov G, Pikovsky A. Twisted States in a System of Nonlinearly Coupled Phase Oscillators Regular & Chaotic Dynamics. 24: 717-724. DOI: 10.1134/S1560354719060091  0.498
2019 Tyulkina IV, Goldobin DS, Pikovsky A. Stabilization of direct numerical simulation for finite truncations of circular cumulant expansions Arxiv: Statistical Mechanics. 581: 12008. DOI: 10.1088/1757-899X/581/1/012008  0.396
2018 Bolotov M, Smirnov L, Osipov G, Pikovsky A. Simple and complex chimera states in a nonlinearly coupled oscillatory medium. Chaos (Woodbury, N.Y.). 28: 045101. PMID 31906664 DOI: 10.1063/1.5011678  0.442
2018 Grines E, Osipov G, Pikovsky A. Describing dynamics of driven multistable oscillators with phase transfer curves. Chaos (Woodbury, N.Y.). 28: 106323. PMID 30384664 DOI: 10.1063/1.5037290  0.436
2018 Rosenblum M, Pikovsky A. Efficient determination of synchronization domains from observations of asynchronous dynamics. Chaos (Woodbury, N.Y.). 28: 106301. PMID 30384634 DOI: 10.1063/1.5037012  0.396
2018 Goldobin DS, Tyulkina IV, Klimenko LS, Pikovsky A. Collective mode reductions for populations of coupled noisy oscillators. Chaos (Woodbury, N.Y.). 28: 101101. PMID 30384615 DOI: 10.1063/1.5053576  0.471
2018 Tyulkina IV, Goldobin DS, Klimenko LS, Pikovsky A. Dynamics of Noisy Oscillator Populations beyond the Ott-Antonsen Ansatz. Physical Review Letters. 120: 264101. PMID 30004770 DOI: 10.1103/Physrevlett.120.264101  0.449
2018 Peter F, Pikovsky A. Transition to collective oscillations in finite Kuramoto ensembles. Physical Review. E. 97: 032310. PMID 29776135 DOI: 10.1103/Physreve.97.032310  0.395
2018 Zheng C, Pikovsky A. Delay-induced stochastic bursting in excitable noisy systems Physical Review E. 98. DOI: 10.1103/Physreve.98.042148  0.357
2018 Pikovsky A. Reconstruction of a random phase dynamics network from observations Physics Letters A. 382: 147-152. DOI: 10.1016/J.Physleta.2017.11.012  0.381
2018 Sysoev IV, Ponomarenko VI, Pikovsky A. Reconstruction of coupling architecture of neural field networks from vector time series Communications in Nonlinear Science and Numerical Simulation. 57: 342-351. DOI: 10.1016/J.Cnsns.2017.10.006  0.368
2017 Dolmatova AV, Goldobin DS, Pikovsky A. Synchronization of coupled active rotators by common noise. Physical Review. E. 96: 062204. PMID 29347342 DOI: 10.1103/Physreve.96.062204  0.456
2017 Zaks M, Pikovsky A. Chimeras and complex cluster states in arrays of spin-torque oscillators. Scientific Reports. 7: 4648. PMID 28680160 DOI: 10.1038/S41598-017-04918-9  0.356
2017 Zhang X, Pikovsky A, Liu Z. Dynamics of oscillators globally coupled via two mean fields. Scientific Reports. 7: 2104. PMID 28522836 DOI: 10.1038/S41598-017-02283-1  0.492
2017 Pikovsky A, Goldobin DS, Dolmatova AV, Rosenblum M. Synchronization In Kuramoto–Sakaguchi Ensembles With Competing Influence Of Common Noise And Global Coupling Arxiv: Statistical Mechanics. 25: 5-37. DOI: 10.18500/0869-6632-2017-25-6-5-37  0.513
2017 Pikovsky A. Reconstruction of a scalar voltage-based neural field network from observed time series Epl (Europhysics Letters). 119: 30004. DOI: 10.1209/0295-5075/119/30004  0.37
2017 Politi A, Pikovsky A, Ullner E. Chaotic macroscopic phases in one-dimensional oscillators The European Physical Journal Special Topics. 226: 1791-1810. DOI: 10.1140/Epjst/E2017-70056-4  0.644
2017 Goldobin DS, Pimenova AV, Rosenblum M, Pikovsky A. Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble The European Physical Journal Special Topics. 226: 1921-1937. DOI: 10.1140/Epjst/E2017-70039-Y  0.505
2017 Smirnov L, Osipov G, Pikovsky A. Chimera patterns in the Kuramoto–Battogtokh model Journal of Physics A. 50. DOI: 10.1088/1751-8121/Aa55F1  0.446
2017 Petereit J, Pikovsky A. Chaos synchronization by nonlinear coupling Communications in Nonlinear Science and Numerical Simulation. 44: 344-351. DOI: 10.1016/J.Cnsns.2016.09.002  0.489
2016 Pimenova AV, Goldobin DS, Rosenblum M, Pikovsky A. Interplay of coupling and common noise at the transition to synchrony in oscillator populations. Scientific Reports. 6: 38518. PMID 27922105 DOI: 10.1038/Srep38518  0.494
2016 Pikovsky A. Reconstruction of a neural network from a time series of firing rates. Physical Review E. 93: 62313-62313. PMID 27415286 DOI: 10.1103/Physreve.93.062313  0.424
2016 Bolotov MI, Osipov GV, Pikovsky A. Marginal chimera state at cross-frequency locking of pulse-coupled neural networks. Physical Review. E. 93: 032202. PMID 27078339 DOI: 10.1103/Physreve.93.032202  0.363
2016 Vlasov V, Rosenblum M, Pikovsky A. Dynamics of weakly inhomogeneous oscillator populations: Perturbation theory on top of Watanabe-Strogatz integrability Journal of Physics a: Mathematical and Theoretical. 49. DOI: 10.1088/1751-8113/49/31/31Lt02  0.446
2016 Zaks MA, Pikovsky A. Frequency locking near the gluing bifurcation: Spin-torque oscillator under periodic modulation of current Physica D: Nonlinear Phenomena. 335: 33-44. DOI: 10.1016/J.Physd.2016.06.008  0.36
2016 Nagornov R, Osipov G, Komarov M, Pikovsky A, Shilnikov A. Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound Communications in Nonlinear Science and Numerical Simulation. 36: 175-191. DOI: 10.1016/J.Cnsns.2015.11.024  0.352
2015 Vlasov V, Pikovsky A, Macau EE. Star-type oscillatory networks with generic Kuramoto-type coupling: A model for "Japanese drums synchrony". Chaos (Woodbury, N.Y.). 25: 123120. PMID 26723159 DOI: 10.1063/1.4938400  0.446
2015 Pikovsky A, Rosenblum M. Dynamics of globally coupled oscillators: Progress and perspectives. Chaos (Woodbury, N.Y.). 25: 097616. PMID 26428569 DOI: 10.1063/1.4922971  0.451
2015 Komarov M, Pikovsky A. Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 92: 020901. PMID 26382333 DOI: 10.1103/Physreve.92.020901  0.517
2015 Pikovsky A. Maximizing Coherence of Oscillations by External Locking. Physical Review Letters. 115: 070602. PMID 26317705 DOI: 10.1103/Physrevlett.115.070602  0.36
2015 Pikovsky A. Comment on "Asymptotic Phase for Stochastic Oscillators". Physical Review Letters. 115: 069401. PMID 26296133 DOI: 10.1103/Physrevlett.115.069401  0.404
2015 Rosenblum M, Pikovsky A. Two types of quasiperiodic partial synchrony in oscillator ensembles. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 92: 012919. PMID 26274259 DOI: 10.1103/Physreve.92.012919  0.465
2015 Komarov M, Pikovsky A. Intercommunity resonances in multifrequency ensembles of coupled oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 92: 012906. PMID 26274246 DOI: 10.1103/Physreve.92.012906  0.452
2015 Freitas C, Macau E, Pikovsky A. Partial synchronization in networks of non-linearly coupled oscillators: The Deserter Hubs Model. Chaos (Woodbury, N.Y.). 25: 043119. PMID 25933667 DOI: 10.1063/1.4919246  0.492
2015 Vlasov V, Komarov M, Pikovsky A. Synchronization transitions in ensembles of noisy oscillators with bi-harmonic coupling Journal of Physics a: Mathematical and Theoretical. 48: 105101. DOI: 10.1088/1751-8113/48/10/105101  0.475
2015 Pikovsky A. First and second sound in disordered strongly nonlinear lattices: numerical study Journal of Statistical Mechanics: Theory and Experiment. 2015: P08007. DOI: 10.1088/1742-5468/2015/08/P08007  0.359
2015 Komarov M, Pikovsky A. Erratum to “The Kuramoto model of coupled oscillators with a bi-harmonic coupling function” [Physica D 289 (2014) 18–31] Physica D: Nonlinear Phenomena. 313: 117. DOI: 10.1016/J.Physd.2015.11.001  0.432
2014 Pikovsky A, Gupta S, Teles TN, Benetti FP, Pakter R, Levin Y, Ruffo S. Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 90: 062141. PMID 25615078 DOI: 10.1103/Physreve.90.062141  0.434
2014 Lepri S, Pikovsky A. Nonreciprocal wave scattering on nonlinear string-coupled oscillators. Chaos (Woodbury, N.Y.). 24: 043119. PMID 25554039 DOI: 10.1063/1.4899205  0.346
2014 Rosenau P, Pikovsky A. Breathers in strongly anharmonic lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 89: 022924. PMID 25353562 DOI: 10.1103/Physreve.89.022924  0.418
2014 Vlasov V, Macau EE, Pikovsky A. Synchronization of oscillators in a Kuramoto-type model with generic coupling. Chaos (Woodbury, N.Y.). 24: 023120. PMID 24985434 DOI: 10.1063/1.4880835  0.494
2014 Levnajić Z, Pikovsky A. Untangling complex dynamical systems via derivative-variable correlations. Scientific Reports. 4: 5030. PMID 24848769 DOI: 10.1038/Srep05030  0.349
2014 Yeldesbay A, Pikovsky A, Rosenblum M. Chimeralike states in an ensemble of globally coupled oscillators. Physical Review Letters. 112: 144103. PMID 24765969 DOI: 10.1103/Physrevlett.112.144103  0.492
2014 Komarov M, Gupta S, Pikovsky A. Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results Epl (Europhysics Letters). 106: 40003. DOI: 10.1209/0295-5075/106/40003  0.529
2014 Kruglov VP, Kuznetsov SP, Pikovsky A. Attractor of Smale - Williams type in an autonomous distributed system Regular and Chaotic Dynamics. 19: 483-494. DOI: 10.1134/S1560354714040042  0.378
2014 Kralemann B, Pikovsky A, Rosenblum M. Reconstructing effective phase connectivity of oscillator networks from observations New Journal of Physics. 16. DOI: 10.1088/1367-2630/16/8/085013  0.383
2014 Komarov M, Pikovsky A. The Kuramoto model of coupled oscillators with a bi-harmonic coupling function Physica D: Nonlinear Phenomena. 289: 18-31. DOI: 10.1016/J.Physd.2014.09.002  0.505
2014 Levanova T, Osipov G, Pikovsky A. Coherence properties of cycling chaos Communications in Nonlinear Science and Numerical Simulation. 19: 2734-2739. DOI: 10.1016/J.Cnsns.2014.01.011  0.391
2013 Schwabedal JT, Pikovsky A. Phase description of stochastic oscillations. Physical Review Letters. 110: 204102. PMID 25167416 DOI: 10.1103/Physrevlett.110.204102  0.448
2013 Komarov M, Pikovsky A. Multiplicity of singular synchronous states in the Kuramoto model of coupled oscillators. Physical Review Letters. 111: 204101. PMID 24289688 DOI: 10.1103/PhysRevLett.111.204101  0.419
2013 Krishnan GP, Bazhenov M, Pikovsky A. Multipulse phase resetting curves. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 88: 042902. PMID 24229244 DOI: 10.1103/Physreve.88.042902  0.435
2013 Pikovsky A. Robust synchronization of spin-torque oscillators with an LCR load. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 88: 032812. PMID 24125317 DOI: 10.1103/Physreve.88.032812  0.392
2013 Montaseri G, Yazdanpanah MJ, Pikovsky A, Rosenblum M. Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback. Chaos (Woodbury, N.Y.). 23: 033122. PMID 24089958 DOI: 10.1063/1.4817393  0.437
2013 Vlasov V, Pikovsky A. Synchronization of a Josephson junction array in terms of global variables. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 88: 022908. PMID 24032902 DOI: 10.1103/Physreve.88.022908  0.363
2013 Kralemann B, Frühwirth M, Pikovsky A, Rosenblum M, Kenner T, Schaefer J, Moser M. In vivo cardiac phase response curve elucidates human respiratory heart rate variability. Nature Communications. 4: 2418. PMID 23995013 DOI: 10.1038/Ncomms3418  0.364
2013 Kralemann B, Pikovsky A, Rosenblum M. Detecting triplet locking by triplet synchronization indices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 87: 052904. PMID 23767595 DOI: 10.1103/Physreve.87.052904  0.391
2013 Komarov M, Pikovsky A. Dynamics of multifrequency oscillator communities. Physical Review Letters. 110: 134101. PMID 23581323 DOI: 10.1103/Physrevlett.110.134101  0.403
2013 Ehrich S, Pikovsky A, Rosenblum M. From complete to modulated synchrony in networks of identical Hindmarsh-Rose neurons European Physical Journal: Special Topics. 222: 2407-2416. DOI: 10.1140/Epjst/E2013-02025-8  0.425
2013 Kuptsov PV, Kuznetsov SP, Pikovsky A. Hyperbolic chaos at blinking coupling of noisy oscillators Physical Review E. 87. DOI: 10.1103/Physreve.87.032912  0.517
2013 Mulansky M, Pikovsky A. Energy spreading in strongly nonlinear disordered lattices New Journal of Physics. 15. DOI: 10.1088/1367-2630/15/5/053015  0.448
2012 Mulansky M, Pikovsky A. Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 86: 056214. PMID 23214864 DOI: 10.1103/Physreve.86.056214  0.405
2012 Kuptsov PV, Kuznetsov SP, Pikovsky A. Hyperbolic chaos of Turing patterns. Physical Review Letters. 108: 194101. PMID 23003043 DOI: 10.1103/Physrevlett.108.194101  0.342
2012 Roy S, Pikovsky A. Spreading of energy in the Ding-Dong model. Chaos. 22: 26118. PMID 22757577 DOI: 10.1063/1.3695369  0.387
2012 Schwabedal JT, Pikovsky A, Kralemann B, Rosenblum M. Optimal phase description of chaotic oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 85: 026216. PMID 22463308 DOI: 10.1103/Physreve.85.026216  0.386
2012 Braun W, Pikovsky A, Matias MA, Colet P. Global dynamics of oscillator populations under common noise Epl (Europhysics Letters). 99: 20006. DOI: 10.1209/0295-5075/99/20006  0.417
2011 Blaha KA, Pikovsky A, Rosenblum M, Clark MT, Rusin CG, Hudson JL. Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 046201. PMID 22181239 DOI: 10.1103/Physreve.84.046201  0.512
2011 Komarov M, Pikovsky A. Effects of nonresonant interaction in ensembles of phase oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 84: 016210. PMID 21867276 DOI: 10.1103/Physreve.84.016210  0.381
2011 Levnajić Z, Pikovsky A. Network reconstruction from random phase resetting. Physical Review Letters. 107: 034101. PMID 21838361 DOI: 10.1103/Physrevlett.107.034101  0.328
2011 Kralemann B, Pikovsky A, Rosenblum M. Reconstructing phase dynamics of oscillator networks. Chaos (Woodbury, N.Y.). 21: 025104. PMID 21721782 DOI: 10.1063/1.3597647  0.47
2011 Mulansky M, Ahnert K, Pikovsky A. Scaling of energy spreading in strongly nonlinear disordered lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 026205. PMID 21405894 DOI: 10.1103/Physreve.83.026205  0.377
2011 Pikovsky A, Fishman S. Scaling properties of weak chaos in nonlinear disordered lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 83: 025201. PMID 21405880 DOI: 10.1103/Physreve.83.025201  0.386
2011 Omelchenko I, Rosenblum M, Pikovsky A. Synchronization of slow-fast systems European Physical Journal: Special Topics. 191: 3-14. DOI: 10.1140/Epjst/E2010-01338-4  0.482
2011 Lück S, Pikovsky A. Dynamics of multi-frequency oscillator ensembles with resonant coupling Physics Letters A. 375: 2714-2719. DOI: 10.1016/J.Physleta.2011.06.016  0.482
2011 Turukina L, Pikovsky A. Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators Physics Letters A. 375: 1407-1411. DOI: 10.1016/J.Physleta.2011.02.017  0.505
2011 Burylko O, Pikovsky A. Desynchronization transitions in nonlinearly coupled phase oscillators Physica D: Nonlinear Phenomena. 240: 1352-1361. DOI: 10.1016/J.Physd.2011.05.016  0.504
2011 Pikovsky A, Rosenblum M. Dynamics of heterogeneous oscillator ensembles in terms of collective variables Physica D: Nonlinear Phenomena. 240: 872-881. DOI: 10.1016/J.Physd.2011.01.002  0.477
2011 Mulansky M, Ahnert K, Pikovsky A, Shepelyansky DL. Strong and Weak Chaos in Weakly Nonintegrable Many-Body Hamiltonian Systems Journal of Statistical Physics. 145: 1256-1274. DOI: 10.1007/S10955-011-0335-3  0.512
2010 Levnajić Z, Pikovsky A. Phase resetting of collective rhythm in ensembles of oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 056202. PMID 21230558 DOI: 10.1103/Physreve.82.056202  0.438
2010 Bordyugov G, Pikovsky A, Rosenblum M. Self-emerging and turbulent chimeras in oscillator chains. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 035205. PMID 21230131 DOI: 10.1103/Physreve.82.035205  0.427
2010 Kuznetsov SP, Pikovsky A, Rosenblum M. Collective phase chaos in the dynamics of interacting oscillator ensembles. Chaos (Woodbury, N.Y.). 20: 043134. PMID 21198104 DOI: 10.1063/1.3527064  0.522
2010 Shklyaev S, Straube AV, Pikovsky A. Superexponential droplet fractalization as a hierarchical formation of dissipative compactons. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 020601. PMID 20866766 DOI: 10.1103/Physreve.82.020601  0.338
2010 Baibolatov Y, Rosenblum M, Zhanabaev ZZh, Pikovsky A. Complex dynamics of an oscillator ensemble with uniformly distributed natural frequencies and global nonlinear coupling. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 82: 016212. PMID 20866712 DOI: 10.1103/Physreve.82.016212  0.462
2010 Schwabedal JT, Pikovsky A. Effective phase dynamics of noise-induced oscillations in excitable systems. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 81: 046218. PMID 20481818 DOI: 10.1103/Physreve.81.046218  0.455
2010 Mulansky M, Pikovsky A. Spreading in disordered lattices with different nonlinearities Epl (Europhysics Letters). 90: 10015. DOI: 10.1209/0295-5075/90/10015  0.383
2010 Schwabedal J, Pikovsky A. Effective phase description of noise-perturbed and noise-induced oscillations The European Physical Journal Special Topics. 187: 63-76. DOI: 10.1140/Epjst/E2010-01271-6  0.421
2009 Mulansky M, Ahnert K, Pikovsky A, Shepelyansky DL. Dynamical thermalization of disordered nonlinear lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 80: 056212. PMID 20365065 DOI: 10.1103/Physreve.80.056212  0.37
2009 Baibolatov Y, Rosenblum M, Zhanabaev ZZh, Kyzgarina M, Pikovsky A. Periodically forced ensemble of nonlinearly coupled oscillators: from partial to full synchrony. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 80: 046211. PMID 19905419 DOI: 10.1103/Physreve.80.046211  0.434
2009 Ahnert K, Pikovsky A. Compactons and chaos in strongly nonlinear lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 79: 026209. PMID 19391822 DOI: 10.1103/Physreve.79.026209  0.396
2009 Pikovsky A, Rosenblum M. Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators Physica D: Nonlinear Phenomena. 238: 27-37. DOI: 10.1016/J.Physd.2008.08.018  0.415
2008 Pikovsky A, Rosenblum M. Partially integrable dynamics of hierarchical populations of coupled oscillators. Physical Review Letters. 101: 264103. PMID 19437642 DOI: 10.1103/Physrevlett.101.264103  0.455
2008 Ahnert K, Pikovsky A. Traveling waves and compactons in phase oscillator lattices. Chaos (Woodbury, N.Y.). 18: 037118. PMID 19045492 DOI: 10.1063/1.2955758  0.322
2008 Kralemann B, Cimponeriu L, Rosenblum M, Pikovsky A, Mrowka R. Phase dynamics of coupled oscillators reconstructed from data. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 77: 066205. PMID 18643348 DOI: 10.1103/Physreve.77.066205  0.481
2008 Kuznetsov SP, Pikovsky A. Hyperbolic chaos in the phase dynamics of a Q-switched oscillator with delayed nonlinear feedbacks Epl (Europhysics Letters). 84: 10013. DOI: 10.1209/0295-5075/84/10013  0.366
2008 Tietsche S, Pikovsky A. Chaotic destruction of Anderson localization in a nonlinear lattice Epl (Europhysics Letters). 84: 10006. DOI: 10.1209/0295-5075/84/10006  0.37
2008 Pikovsky A, Rosenblum M. Partially integrable dynamics of hierarchical populations of coupled oscillators Physical Review Letters. 101. DOI: 10.1103/PhysRevLett.101.264103  0.335
2008 Straube AV, Pikovsky A. Mixing-induced activity in open flows Physica Scripta. 2008: 14035. DOI: 10.1088/0031-8949/2008/T132/014035  0.37
2008 Tukhlina N, Rosenblum M, Pikovsky A. Controlling coherence of noisy and chaotic oscillators by a linear feedback Physica a: Statistical Mechanics and Its Applications. 387: 6045-6056. DOI: 10.1016/J.Physa.2008.06.054  0.47
2007 Kralemann B, Cimponeriu L, Rosenblum M, Pikovsky A, Mrowka R. Uncovering interaction of coupled oscillators from data. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 76: 055201. PMID 18233706 DOI: 10.1103/Physreve.76.055201  0.508
2007 Straube AV, Pikovsky A. Mixing-induced global modes in open active flow. Physical Review Letters. 99: 184503. PMID 17995413 DOI: 10.1103/Physrevlett.99.184503  0.356
2007 Popovych OV, Pikovsky A, Eckhardt B. Abnormal mixing of passive scalars in chaotic flows. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 036308. PMID 17500792 DOI: 10.1103/Physreve.75.036308  0.328
2007 Rosenblum M, Pikovsky A. Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling. Physical Review Letters. 98: 064101. PMID 17358943 DOI: 10.1103/Physrevlett.98.064101  0.5
2007 Tukhlina N, Rosenblum M, Pikovsky A, Kurths J. Feedback suppression of neural synchrony by vanishing stimulation. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 75: 011918. PMID 17358195 DOI: 10.1103/Physreve.75.011918  0.315
2007 Rosenblum M, Pikovsky A. Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling Physical Review Letters. 98. DOI: 10.1103/PhysRevLett.98.064101  0.392
2007 Kuznetsov SP, Pikovsky A. Autonomous coupled oscillators with hyperbolic strange attractors Physica D: Nonlinear Phenomena. 232: 87-102. DOI: 10.1016/J.Physd.2007.05.008  0.524
2006 Rosenblum M, Cimponeriu L, Pikovsky A. Coupled oscillators approach in analysis of physiological data. Conference Proceedings : ... Annual International Conference of the Ieee Engineering in Medicine and Biology Society. Ieee Engineering in Medicine and Biology Society. Annual Conference. 1: 441-4. PMID 17946834 DOI: 10.1109/IEMBS.2006.259461  0.307
2006 Goldobin DS, Pikovsky A. Antireliability of noise-driven neurons. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 73: 061906. PMID 16906863 DOI: 10.1103/Physreve.73.061906  0.354
2006 Goldobin DS, Pikovsky A. Effects of Delayed Feedback on Kuramoto Transition Progress of Theoretical Physics Supplement. 161: 43-52. DOI: 10.1143/Ptps.161.43  0.454
2006 ROSENBLUM M, TUKHLINA N, PIKOVSKY A, CIMPONERIU L. DELAYED FEEDBACK SUPPRESSION OF COLLECTIVE RHYTHMIC ACTIVITY IN A NEURONAL ENSEMBLE International Journal of Bifurcation and Chaos. 16: 1989-1999. DOI: 10.1142/S0218127406015842  0.329
2006 Pawlik AH, Pikovsky A. Control of oscillators coherence by multiple delayed feedback Physics Letters A. 358: 181-185. DOI: 10.1016/J.Physleta.2006.05.013  0.412
2005 Zillmer R, Pikovsky A. Continuous approach for the random-field Ising chain. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 72: 056108. PMID 16383689 DOI: 10.1103/Physreve.72.056108  0.756
2005 Rosenau P, Pikovsky A. Phase compactons in chains of dispersively coupled oscillators. Physical Review Letters. 94: 174102. PMID 15904295 DOI: 10.1103/Physrevlett.94.174102  0.463
2004 Cimponeriu L, Rosenblum M, Pikovsky A. Estimation of delay in coupling from time series. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 70: 046213. PMID 15600501 DOI: 10.1103/Physreve.70.046213  0.44
2004 Rosenblum M, Pikovsky A. Delayed feedback control of collective synchrony: An approach to suppression of pathological brain rhythms Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 70. PMID 15600432 DOI: 10.1103/Physreve.70.041904  0.396
2004 Straube AV, Abel M, Pikovsky A. Temporal chaos versus spatial mixing in reaction-advection-diffusion systems. Physical Review Letters. 93: 174501. PMID 15525082 DOI: 10.1103/Physrevlett.93.174501  0.307
2004 Rosenblum MG, Pikovsky AS. Controlling Synchronization in an Ensemble of Globally Coupled Oscillators Physical Review Letters. 92: 114102-1. PMID 15089140 DOI: 10.1103/PhysRevLett.92.114102  0.374
2003 Goldobin D, Rosenblum M, Pikovsky A. Controlling oscillator coherence by delayed feedback. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 67: 061119. PMID 16241211 DOI: 10.1103/Physreve.67.061119  0.444
2003 Zillmer R, Pikovsky A. Multiscaling of noise-induced parametric instability. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 67: 061117. PMID 16241209 DOI: 10.1103/Physreve.67.061117  0.767
2003 Ginelli F, Ahlers V, Livi R, Mukamel D, Pikovsky A, Politi A, Torcini A. From multiplicative noise to directed percolation in wetting transitions. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 68: 065102. PMID 14754249 DOI: 10.1103/Physreve.68.065102  0.739
2003 Bezruchko B, Ponomarenko V, Rosenblum MG, Pikovsky AS. Characterizing direction of coupling from experimental observations. Chaos (Woodbury, N.Y.). 13: 179-84. PMID 12675424 DOI: 10.1063/1.1518425  0.335
2003 Pikovsky A, Popovych O. Persistent patterns in deterministic mixing flows Europhysics Letters (Epl). 61: 625-631. DOI: 10.1209/Epl/I2003-00117-6  0.334
2003 KATZORKE I, PIKOVSKY A. DYNAMICS BETWEEN ORDER AND CHAOS IN A SIMPLE REENTRANT MODEL OF PRODUCTION DYNAMICS International Journal of Bifurcation and Chaos. 13: 1343-1351. DOI: 10.1142/S021812740300728X  0.324
2003 Neumann E, Pikovsky A. Slow-fast dynamics in Josephson junctions The European Physical Journal B - Condensed Matter. 34: 293-303. DOI: 10.1140/Epjb/E2003-00225-1  0.327
2003 Rosenblum M, Pikovsky A. Synchronization: From pendulum clocks to chaotic lasers and chemical oscillators Contemporary Physics. 44: 401-416. DOI: 10.1080/00107510310001603129  0.409
2003 Goldobin D, Rosenblum M, Pikovsky A. Coherence of noisy oscillators with delayed feedback Physica a: Statistical Mechanics and Its Applications. 327: 124-128. DOI: 10.1016/S0378-4371(03)00463-1  0.431
2002 Rosenblum MG, Pikovsky AS, Kurths J, Osipov GV, Kiss IZ, Hudson JL. Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics. Physical Review Letters. 89: 264102. PMID 12484823 DOI: 10.1103/Physrevlett.89.264102  0.304
2002 Ahlers V, Pikovsky A. Critical properties of the synchronization transition in space-time chaos. Physical Review Letters. 88: 254101. PMID 12097087 DOI: 10.1103/Physrevlett.88.254101  0.791
2002 Yang HL, Pikovsky AS. Riddling, bubbling, and Hopf bifurcation in coupled map systems. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 60: 5474-8. PMID 11970421 DOI: 10.1103/PHYSREVE.60.5474  0.335
2002 Pikovsky A, Zaikin A, de la Casa MA. System size resonance in coupled noisy systems and in the Ising model. Physical Review Letters. 88: 050601. PMID 11863709 DOI: 10.1103/Physrevlett.88.050601  0.476
2002 Zillmer R, Ahlers V, Pikovsky A. Coupling sensitivity of localization length in one-dimensional disordered systems Europhysics Letters (Epl). 60: 889-895. DOI: 10.1209/Epl/I2002-00301-2  0.766
2002 Goldobin D, Pikovsky A. Collective modes in parametrically excited oscillator arrays Europhysics Letters (Epl). 59: 193-198. DOI: 10.1209/Epl/I2002-00221-7  0.415
2002 Neumann E, Pikovsky A. Quasiperiodically driven Josephson junctions: strange nonchaotic attractors, symmetries and transport The European Physical Journal B. 26: 219-228. DOI: 10.1140/Epjb/E20020083  0.316
2002 Topaj D, Pikovsky A. Reversibility vs. synchronization in oscillator lattices Physica D: Nonlinear Phenomena. 170: 118-130. DOI: 10.1016/S0167-2789(02)00536-5  0.502
2002 Popovych O, Pikovsky A, Maistrenko Y. Cluster-splitting bifurcation in a system of coupled maps Physica D: Nonlinear Phenomena. 168: 106-125. DOI: 10.1016/S0167-2789(02)00499-2  0.355
2001 Tsimring LS, Pikovsky A. Noise-induced dynamics in bistable systems with delay. Physical Review Letters. 87: 250602. PMID 11736552 DOI: 10.1103/Physrevlett.87.250602  0.406
2001 Neumann E, Pikovsky A. Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system". Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 64: 058201. PMID 11736154 DOI: 10.1103/Physreve.64.058201  0.367
2001 Rosenblum MG, Pikovsky AS. Detecting direction of coupling in interacting oscillators. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 64: 045202. PMID 11690077 DOI: 10.1103/PhysRevE.64.045202  0.346
2001 Topaj D, Kye WH, Pikovsky A. Transition to coherence in populations of coupled chaotic oscillators: a linear response approach. Physical Review Letters. 87: 074101. PMID 11497892 DOI: 10.1103/Physrevlett.87.074101  0.484
2001 Pikovsky A, Popovych O, Maistrenko Y. Resolving clusters in chaotic ensembles of globally coupled identical oscillators. Physical Review Letters. 87: 044102. PMID 11461620 DOI: 10.1103/Physrevlett.87.044102  0.326
2001 Rosenblum MG, Pikovsky AS, Kurths J. Comment on "Phase synchronization in discrete chaotic systems". Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 63: 058201. PMID 11415052 DOI: 10.1103/PhysRevE.63.058201  0.304
2001 Ahlers V, Zillmer R, Pikovsky A. Lyapunov exponents in disordered chaotic systems: avoided crossing and level statistics. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 63: 036213. PMID 11308747 DOI: 10.1103/Physreve.63.036213  0.76
2001 Pikovsky A, Politi A. Dynamic localization of Lyapunov vectors in Hamiltonian lattices. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 63: 036207. PMID 11308741 DOI: 10.1103/Physreve.63.036207  0.568
2001 Popovych O, Maistrenko Y, Mosekilde E, Pikovsky A, Kurths J. Transcritical riddling in a system of coupled maps. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 63: 036201. PMID 11308735 DOI: 10.1103/PHYSREVE.63.036201  0.384
2001 Pikovsky A, Rosenblum M. Comment on "intermittency in chaotic rotations" Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 64: 058203/1-058204/4. DOI: 10.1103/Physreve.64.058203  0.343
2000 Kuznetsov SP, Neumann E, Pikovsky A, Sataev IR. Critical point of tori collision in quasiperiodically forced systems Physical Review E. 62: 1995-2007. PMID 11088665 DOI: 10.1103/Physreve.62.1995  0.336
2000 Zillmer R, Ahlers V, Pikovsky A. Scaling of lyapunov exponents of coupled chaotic systems Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 61: 332-41. PMID 11046270 DOI: 10.1103/Physreve.61.332  0.775
2000 Katzorke I, Pikovsky A. Chaos and complexity in a simple model of production dynamics Discrete Dynamics in Nature and Society. 5: 179-187. DOI: 10.1155/S1026022600000510  0.339
2000 PIKOVSKY A, ROSENBLUM M, KURTHS J. PHASE SYNCHRONIZATION IN REGULAR AND CHAOTIC SYSTEMS International Journal of Bifurcation and Chaos. 10: 2291-2305. DOI: 10.1142/S0218127400001481  0.415
2000 Popovych O, Maistrenko Y, Mosekilde E, Pikovsky A, Kurths J. Transcritical loss of synchronization in coupled chaotic systems Physics Letters A. 275: 401-406. DOI: 10.1016/S0375-9601(00)00621-6  0.524
1999 Pikovsky A, Ruffo S. Finite-size effects in a population of interacting oscillators Physical Review E. 59: 1633-1636. DOI: 10.1103/Physreve.59.1633  0.432
1999 Chaté H, Pikovsky A, Rudzick O. Forcing oscillatory media: phase kinks vs. synchronization Physica D: Nonlinear Phenomena. 131: 17-30. DOI: 10.1016/S0167-2789(98)00215-2  0.399
1998 Rosenblum MG, Kurths J, Pikovsky A, Schafer C, Tass P, Abel H-. Synchronization in noisy systems and cardiorespiratory interaction Ieee Engineering in Medicine and Biology Magazine. 17: 46-53. PMID 9824761 DOI: 10.1109/51.731320  0.369
1998 Tass P, Rosenblum MG, Weule J, Kurths J, Pikovsky A, Volkmann J, Schnitzler A, Freund H. Detection ofn:mPhase Locking from Noisy Data: Application to Magnetoencephalography Physical Review Letters. 81: 3291-3294. DOI: 10.1103/Physrevlett.81.3291  0.304
1998 Kuznetsov S, Feudel U, Pikovsky A. Renormalization group for scaling at the torus-doubling terminal point Physical Review E. 57: 1585-1590. DOI: 10.1103/Physreve.57.1585  0.339
1998 Pikovsky A, Politi A. Dynamic localization of Lyapunov vectors in spacetime chaos Nonlinearity. 11: 1049-1062. DOI: 10.1088/0951-7715/11/4/016  0.56
1998 Abel M, Flach S, Pikovsky A. Localization in a coupled standard map lattice Physica D: Nonlinear Phenomena. 119: 4-21. DOI: 10.1016/S0167-2789(98)00060-8  0.482
1997 Pikovsky A, Zaks M, Rosenblum M, Osipov G, Kurths J. Phase synchronization of chaotic oscillations in terms of periodic orbits. Chaos (Woodbury, N.Y.). 7: 680-687. PMID 12779693 DOI: 10.1063/1.166265  0.409
1997 Abel M, Pikovsky A. Parametric Excitation of Breathers in a Nonlinear Lattice Zeitschrift FüR Naturforschung A. 52: 570-572. DOI: 10.1515/Zna-1997-8-902  0.441
1997 Rosenblum M, Pikovsky A, Kurths J. Phase synchronization in driven and coupled chaotic oscillators Ieee Transactions On Circuits and Systems I: Fundamental Theory and Applications. 44: 874-881. DOI: 10.1109/81.633876  0.369
1997 Pikovsky A, Osipov G, Rosenblum M, Zaks M, Kurths J. Attractor-Repeller Collision and Eyelet Intermittency at the Transition to Phase Synchronization Physical Review Letters. 79: 47-50. DOI: 10.1103/Physrevlett.79.47  0.393
1997 Rosenblum MG, Pikovsky AS, Kurths J. From Phase to Lag Synchronization in Coupled Chaotic Oscillators Physical Review Letters. 78: 4193-4196. DOI: 10.1103/PhysRevLett.78.4193  0.365
1997 Pikovsky A, Feudel U. Comment on “Strange nonchaotic attractors in autonomous and periodically driven systems” Physical Review E. 56: 7320-7321. DOI: 10.1103/Physreve.56.7320  0.304
1997 Witt A, Feudel U, Pikovsky A. Birth of strange nonchaotic attractors due to interior crisis Physica D: Nonlinear Phenomena. 109: 180-190. DOI: 10.1016/S0167-2789(97)00168-1  0.351
1997 Rudzick O, Pikovsky A, Scheffczyk C, Kurths J. Dynamics of chaos-order interface in coupled map lattices Physica D: Nonlinear Phenomena. 103: 330-347. DOI: 10.1016/S0167-2789(96)00266-7  0.454
1996 Rudzick O, Pikovsky A. Unidirectionally coupled map lattice as a model for open flow systems. Physical Review E. 54: 5107-5115. PMID 9965690 DOI: 10.1103/Physreve.54.5107  0.399
1996 Pikovsky AS, Rosenblum MG, Kurths J. Synchronization in a population of globally coupled chaotic oscillators Europhysics Letters (Epl). 34: 165-170. DOI: 10.1209/epl/i1996-00433-3  0.331
1996 Feudel U, Pikovsky A, Politi A. Renormalization of correlations and spectra of a strange non-chaotic attractor Journal of Physics a: Mathematical and General. 29: 5297-5311. DOI: 10.1088/0305-4470/29/17/008  0.528
1996 Sosnovtseva O, Feudel U, Kurths J, Pikovsky A. Multiband strange nonchaotic attractors in quasiperiodically forced systems Physics Letters A. 218: 255-267. DOI: 10.1016/0375-9601(96)00399-4  0.345
1994 Pikovsky AS, Rateitschak K, Kurths J. Finite-size-induced transition in ensemble of globally coupled oscillators Zeitschrift F�R Physik B Condensed Matter. 95: 541-544. DOI: 10.1007/BF01313365  0.343
1993 Pikovsky AS. Local Lyapunov exponents for spatiotemporal chaos. Chaos (Woodbury, N.Y.). 3: 225-232. PMID 12780031 DOI: 10.1063/1.165987  0.329
1991 Pikovsky AS, Grassberger P. Symmetry breaking bifurcation for coupled chaotic attractors Journal of Physics a: Mathematical and General. 24: 4587-4597. DOI: 10.1088/0305-4470/24/19/022  0.602
1981 Pikovsky AS, Rabinovich MI. Stochastic oscillations in dissipative systems Physica D: Nonlinear Phenomena. 2: 8-24. DOI: 10.1016/0167-2789(81)90054-3  0.6
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