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1

Synchronization: A Universal Concept in Nonlinear Science

Pikovsky, Arkady, Rosenblum, Michael, Kurths, Jürgen, Hilborn, Robert C.

Journal:

American Journal of Physics

Year:

2002

Language:

english

File:

PDF, 306 KB

english, 2002

2

Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators

Arkady Pikovsky, Michael Rosenblum

Journal:

Physica D: Nonlinear Phenomena

Year:

2009

Language:

english

File:

PDF, 3.37 MB

english, 2009

3

Phase Synchronization of Chaotic Oscillators

Rosenblum, Michael, Pikovsky, Arkady, Kurths, Jürgen

Journal:

Physical Review Letters

Year:

1996

Language:

english

File:

PDF, 189 KB

english, 1996

4

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Pseudocodes

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 138 KB

english, 2016

5

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Fluctuations, finite-time and generalised exponents

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 1.94 MB

english, 2016

6

Strange non-chaotic attractor in a quasiperiodically forced circle map

Ulrike Feudel, Jürgen Kurths, Arkady S. Pikovsky

Journal:

Physica D: Nonlinear Phenomena

Year:

1995

Language:

english

File:

PDF, 739 KB

english, 1995

7

Dynamics of heterogeneous oscillator ensembles in terms of collective variables

Arkady Pikovsky, Michael Rosenblum

Journal:

Physica D: Nonlinear Phenomena

Year:

2011

Language:

english

File:

PDF, 722 KB

english, 2011

8

Phase synchronization of chaotic oscillators by external driving

Arkady S. Pikovsky, Michael G. Rosenblum, Grigory V. Osipov, Jürgen Kurths

Journal:

Physica D: Nonlinear Phenomena

Year:

1997

Language:

english

File:

PDF, 1.09 MB

english, 1997

9

Synchronization and desynchronization of self-sustained oscillators by common noise

Goldobin, Denis S., Pikovsky, Arkady

Journal:

Physical Review E

Year:

2005

Language:

english

File:

PDF, 61 KB

english, 2005

10

Coherence Resonance in a Noise-Driven Excitable System

Pikovsky, Arkady, Kurths, Jürgen

Journal:

Physical Review Letters

Year:

1997

Language:

english

File:

PDF, 122 KB

english, 1997

11

Desynchronization transitions in nonlinearly coupled phase oscillators

Oleksandr Burylko, Arkady Pikovsky

Journal:

Physica D: Nonlinear Phenomena

Year:

2011

Language:

english

File:

PDF, 916 KB

english, 2011

12

Synchronization: Theory and Application ||

Pikovsky, Arkady, Maistrenko, Yuri

Year:

2003

Language:

english

File:

PDF, 30.71 MB

english, 2003

13

Complexity of a quasiperiodically driven spin system

Pikovsky, Arkady S, Zaks, Michael A, Kurths, Jürgen

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

1996

Language:

english

File:

PDF, 107 KB

english, 1996

14

Partially Integrable Dynamics of Hierarchical Populations of Coupled Oscillators

Pikovsky, Arkady, Rosenblum, Michael

Journal:

Physical Review Letters

Year:

2008

Language:

english

File:

PDF, 502 KB

english, 2008

15

Comment on ‘‘Noisy uncoupled chaotic map ensembles violate the law of large numbers’’

Pikovsky, Arkady S.

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 187 KB

english, 1993

16

Do globally coupled maps really violate the law of large numbers?

Pikovsky, Arkady S., Kurths, Jürgen

Journal:

Physical Review Letters

Year:

1994

Language:

english

File:

PDF, 263 KB

english, 1994

17

[World Scientific Series on Nonlinear Science Series A] Strange Nonchaotic Attractors Volume 56 (Dynamics between Order and Chaos in Quasiperiodically Forced Systems) || Bifurcations in quasiperiodically forced systems and transitions to SNA

Feudel, Ulrike, Kuznetsov, Sergey, Pikovsky, Arkady

Year:

2006

Language:

english

File:

PDF, 2.68 MB

english, 2006

18

Synchronization of oscillators in a Kuramoto-type model with generic coupling

Vlasov, Vladimir, Macau, Elbert E. N., Pikovsky, Arkady

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2014

Language:

english

File:

PDF, 1.68 MB

english, 2014

19

Characterizing strange nonchaotic attractors

Pikovsky, Arkady S., Feudel, Ulrike

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

1995

Language:

english

File:

PDF, 563 KB

english, 1995

20

[Nonlinear Systems and Complexity] Advances in Dynamics, Patterns, Cognition Volume 20 || Lotka–Volterra Like Dynamics in Phase Oscillator Networks

Aranson, Igor S., Pikovsky, Arkady, Rulkov, Nikolai F., Tsimring, Lev S.

Year:

2017

Language:

english

File:

PDF, 179 KB

english, 2017

21

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Dimensions and dynamical entropies

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 293 KB

english, 2016

22

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || The basics

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 346 KB

english, 2016

23

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Random matrices: some general formulas

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 127 KB

english, 2016

24

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Random systems

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 829 KB

english, 2016

25

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Coupled systems

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 1.12 MB

english, 2016

26

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Numerical methods

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 5.24 MB

english, 2016

27

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Applications

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 514 KB

english, 2016

28

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Symbolic encoding

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 92 KB

english, 2016

29

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Introduction

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 611 KB

english, 2016

30

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || High-dimensional systems: Lyapunov vectors and finite-size effects

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 4.52 MB

english, 2016

31

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Finite-amplitude exponents

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 373 KB

english, 2016

32

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || High-dimensional systems: general

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 1.64 MB

english, 2016

33

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Lyapunov vectors

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 1.59 MB

english, 2016

34

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Preface

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 57 KB

english, 2016

35

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Bibliography

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 262 KB

english, 2016

36

Lyapunov Exponents (A Tool to Explore Complex Dynamics) || Reference models

Pikovsky, Arkady, Politi, Antonio

Year:

2016

Language:

english

File:

PDF, 185 KB

english, 2016

37

[AIP Applied nonlinear dynamics and stochastic systems near the millenium - San Diego, California (USA) (July 1997)] AIP Conference Proceedings - Synchronization transitions in coupled chaotic oscillators

Kurths, Jürgen, Pikovsky, Arkady S., Rosenblum, Michael G.

Year:

1997

Language:

english

File:

PDF, 999 KB

english, 1997

38

Synchronization (A universal concept in nonlinear sciences) || Synchronization of a periodic oscillator by external force

Pikovsky, Arkady, Rosenblum, Michael, Kurths, Jurgen

Year:

2001

Language:

english

File:

PDF, 10.44 MB

english, 2001

39

Synchronization (A universal concept in nonlinear sciences) || Synchronization of complex dynamics by external forces

Pikovsky, Arkady, Rosenblum, Michael, Kurths, Jurgen

Year:

2001

Language:

english

File:

PDF, 1.23 MB

english, 2001

40

Synchronization (A universal concept in nonlinear sciences) || Synchronization of chaotic systems

Pikovsky, Arkady, Rosenblum, Michael, Kurths, Jurgen

Year:

2001

Language:

english

File:

PDF, 3.96 MB

english, 2001

41

Microscopic correlations in the finite-size Kuramoto model of coupled oscillators

Peter, Franziska, Gong, Chen Chris, Pikovsky, Arkady

Journal:

Physical Review E

Year:

2019

Language:

english

File:

PDF, 1.45 MB

english, 2019

42

Stochastic oscillations in dissipative systems

Arkady S. Pikovsky, Mikhail I. Rabinovich

Journal:

Physica D: Nonlinear Phenomena

Year:

1981

Language:

english

File:

PDF, 907 KB

english, 1981

43

Farey level separation in mode-locking structure of circle mappings

Arkady S. Pikovsky, Mikhail A. Zaks

Journal:

Physica D: Nonlinear Phenomena

Year:

1992

Language:

english

File:

PDF, 878 KB

english, 1992

44

Collective behavior in ensembles of globally coupled maps

Arkady S. Pikovsky, Jürgen Kurths

Journal:

Physica D: Nonlinear Phenomena

Year:

1994

Language:

english

File:

PDF, 576 KB

english, 1994

45

Chaotic wavefront propagation in coupled map lattices

Arkady S. Pikovsky

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 346 KB

english, 1991

46

Statistics of trajectory separation in noisy dynamical systems

Arkady S. Pikovsky

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 339 KB

english, 1992

47

Discrete model of spatially mixing system

Arkady S. Pikovsky

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 257 KB

english, 1992

48

Multistep method for controlling chaos

Igor M. Starobinets, Arkady S. Pikovsky

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 261 KB

english, 1993

49

Symmetry breaking in distributed systems and modulational spatio-temporal intermittency

Jürgen Kurths, Arkady S. Pikovsky

Journal:

Chaos, Solitons & Fractals

Year:

1995

Language:

english

File:

PDF, 419 KB

english, 1995

50

Phase compactons

Arkady Pikovsky, Philip Rosenau

Journal:

Physica D: Nonlinear Phenomena

Year:

2006

Language:

english

File:

PDF, 1.22 MB

english, 2006