Recurrence plots for the analysis of complex systems

N Marwan, MC Romano, M Thiel, J Kurths - Physics reports, 2007 - Elsevier
Recurrence is a fundamental property of dynamical systems, which can be exploited to
characterise the system's behaviour in phase space. A powerful tool for their visualisation …

The synchronization of chaotic systems

S Boccaletti, J Kurths, G Osipov, DL Valladares… - Physics reports, 2002 - Elsevier
Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

Synchronization in chaotic systems

LM Pecora, TL Carroll - Physical review letters, 1990 - APS
Synchronization in chaotic systems Page 1 VOLUME 64, NUMBER 8 PHYSICAL REVIEW
LETTERS 19 FEBRUARY 1990 Synchronization in Chaotic Systems Louis M. Pecora and …

Master stability functions for synchronized coupled systems

LM Pecora, TL Carroll - Physical review letters, 1998 - APS
We show that many coupled oscillator array configurations considered in the literature can
be put into a simple form so that determining the stability of the synchronous state can be …

The analysis of observed chaotic data in physical systems

HDI Abarbanel, R Brown, JJ Sidorowich… - Reviews of modern …, 1993 - APS
Chaotic time series data are observed routinely in experiments on physical systems and in
observations in the field. The authors review developments in the extraction of information of …

[HTML][HTML] Synchronization of chaotic systems

LM Pecora, TL Carroll - Chaos: An Interdisciplinary Journal of …, 2015 - pubs.aip.org
We review some of the history and early work in the area of synchronization in chaotic
systems. We start with our own discovery of the phenomenon, but go on to establish the …

From phase to lag synchronization in coupled chaotic oscillators

MG Rosenblum, AS Pikovsky, J Kurths - Physical Review Letters, 1997 - APS
We study synchronization transitions in a system of two coupled self-sustained chaotic
oscillators. We demonstrate that with the increase of coupling strength the system first …

[图书][B] Nonlinear dynamics of chaotic and stochastic systems: tutorial and modern developments

VS Anishchenko, V Astakhov, A Neiman, T Vadivasova… - 2007 - Springer
We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

[图书][B] From simple to complex

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …

Generalized synchronization of chaos: The auxiliary system approach

HDI Abarbanel, NF Rulkov, MM Sushchik - Physical review E, 1996 - APS
Synchronization of chaotic oscillators in a generalized sense leads to richer behavior than
identical chaotic oscillations in coupled systems. It may imply a more complicated …