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

A Pikovsky, M Rosenblum, J Kurths - Cambridge university press, 2001 - cir.nii.ac.jp
抄録< jats: p> First recognized in 1665 by Christiaan Huygens, synchronization phenomena
are abundant in science, nature, engineering and social life. Systems as diverse as clocks …

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 …

Physical principles of brain–computer interfaces and their applications for rehabilitation, robotics and control of human brain states

AE Hramov, VA Maksimenko, AN Pisarchik - Physics Reports, 2021 - Elsevier
Brain–computer interfaces (BCIs) development is closely related to physics. In this paper, we
review the physical principles of BCIs, and underlying novel approaches for registration …

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 …

Fundamentals of synchronization in chaotic systems, concepts, and applications

LM Pecora, TL Carroll, GA Johnson, DJ Mar… - … Journal of Nonlinear …, 1997 - pubs.aip.org
The field of chaotic synchronization has grown considerably since its advent in 1990.
Several subdisciplines and “cottage industries” have emerged that have taken on bona fide …

Complex photonics: Dynamics and applications of delay-coupled semiconductors lasers

MC Soriano, J García-Ojalvo, CR Mirasso… - Reviews of Modern Physics, 2013 - APS
Complex phenomena in photonics, in particular, dynamical properties of semiconductor
lasers due to delayed coupling, are reviewed. Although considered a nuisance for a long …

[BOOK][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 …

Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization

S Boccaletti, JA Almendral, S Guan, I Leyva, Z Liu… - Physics Reports, 2016 - Elsevier
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …