Complex networks: Structure and dynamics

S Boccaletti, V Latora, Y Moreno, M Chavez… - Physics reports, 2006 - Elsevier
Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

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 …

[图书][B] Nonlinear dynamics: a concise introduction interlaced with code

G Datseris, U Parlitz - 2022 - books.google.com
This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …

Detecting phase synchronization in a chaotic laser array

DJ DeShazer, R Breban, E Ott, R Roy - Physical Review Letters, 2001 - APS
Detection of phase synchronization of coupled chaotic oscillators is examined
experimentally for the case of a linear laser array. Phase variables are computed by …

Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems

GM Mahmoud, EE Mahmoud - Nonlinear Dynamics, 2010 - Springer
A scheme is designed to achieve phase synchronization (PS) and antiphase
synchronization (APS) for an n-dimensional hyperchaotic complex nonlinear system. For this …

A secure communication scheme based on the phase synchronization of chaotic systems

JY Chen, KW Wong, LM Cheng… - Chaos: An Interdisciplinary …, 2003 - pubs.aip.org
Phase synchronization of chaotic systems with both weak and strong couplings has recently
been investigated extensively. Similar to complete synchronization, this type of …

Constructive effects of noise in homoclinic chaotic systems

CS Zhou, J Kurths, E Allaria, S Boccaletti, R Meucci… - Physical Review E, 2003 - APS
Many chaotic oscillators have coherent phase dynamics but strong fluctuations in the
amplitudes. At variance with such a behavior, homoclinic chaos is characterized by quite …

Phase synchronization between two essentially different chaotic systems

S Guan, CH Lai, GW Wei - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
In this paper, we numerically investigate phase synchronization between two coupled
essentially different chaotic oscillators in drive-response configuration. It is shown that phase …

Transition from phase to generalized synchronization in time-delay systems

DV Senthilkumar, M Lakshmanan… - Chaos: An Interdisciplinary …, 2008 - pubs.aip.org
The notion of phase synchronization in time-delay systems, exhibiting highly non-phase-
coherent attractors, has not been realized yet even though it has been well studied in …

Phase synchronization in the perturbed Chua circuit

MS Baptista, TP Silva, JC Sartorelli, IL Caldas… - Physical Review E, 2003 - APS
We show experimental and numerical results of phase synchronization between the chaotic
Chua circuit and a small sinusoidal perturbation. Experimental real-time phase …