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 …

Nonlinear multivariate analysis of neurophysiological signals

E Pereda, RQ Quiroga, J Bhattacharya - Progress in neurobiology, 2005 - Elsevier
Multivariate time series analysis is extensively used in neurophysiology with the aim of
studying the relationship between simultaneously recorded signals. Recently, advances on …

[图书][B] Synchronization: from coupled systems to complex networks

S Boccaletti, AN Pisarchik, CI Del Genio, A Amann - 2018 - books.google.com
A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients

F Mormann, K Lehnertz, P David, CE Elger - Physica D: Nonlinear …, 2000 - Elsevier
We apply the concept of phase synchronization of chaotic and/or noisy systems and the
statistical distribution of the relative instantaneous phases to electroencephalograms (EEGs) …

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 …

In time with the music: The concept of entrainment and its significance for ethnomusicology

M Clayton, R Sager, U Will - European meetings in …, 2005 - oro.open.ac.uk
Entrainment, broadly defined, is a phenomenon in which two or more independent rhythmic
processes synchronize with each other. To illuminate the significance of entrainment for …

[图书][B] Synchronization in oscillatory networks

GV Osipov, J Kurths, C Zhou - 2007 - books.google.com
This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

Phase synchronization of chaotic oscillators by external driving

AS Pikovsky, MG Rosenblum, GV Osipov… - Physica D: Nonlinear …, 1997 - Elsevier
We extend the notion of phase locking to the case of chaotic oscillators. Different definitions
of the phase are discussed. and the phase dynamics of a single self-sustanined chaotic …

The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization

G Kolumbán, MP Kennedy… - IEEE Transactions on …, 1998 - ieeexplore.ieee.org
For pt. I see ibid., vol. 44, p. 927-36 (1997). In a digital communications system, data are
transmitted from one location to another by mapping bit sequences to symbols, and symbols …

Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators

Z Zheng, X Wang, MC Cross - Physical Review E, 2002 - APS
Generalized synchronization in an array of mutually (bidirectionally) coupled nonidentical
chaotic oscillators is studied. Coupled Lorenz oscillators and coupled Lorenz-Rossler …