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] 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 …

Control of projective synchronization in chaotic systems

D Xu - Physical review E, 2001 - APS
We show that the scaling factor of projective synchronization in coupled partially linear
systems is unpredictable. This gives rise to the difficulty in estimating the state of …

Cluster synchronization in multiplex networks

S Jalan, A Singh - Europhysics Letters, 2016 - iopscience.iop.org
We study the impact of the interaction of nodes in a layer of a multiplex network on the
dynamical behavior and cluster synchronization of these nodes in the other layers. We find …

Self-organized and driven phase synchronization in coupled maps

S Jalan, RE Amritkar - Physical Review Letters, 2003 - APS
We study the phase synchronization and cluster formation in coupled maps on different
networks. We identify two different mechanisms of cluster formation:(a) self-organized phase …

Chaotic synchronization based on stability criterion of linear systems

H Yu, Y Liu - Physics Letters A, 2003 - Elsevier
A new approach for constructing chaotically synchronizing systems is proposed in this
Letter. This method is based upon the stability criterion of linear systems. The complete …

Controlled projective synchronization in nonpartially-linear chaotic systems

D Xu, Z Li - International Journal of Bifurcation and Chaos, 2002 - World Scientific
Projective synchronization (PS), in which the state vectors synchronize up to a scaling factor,
is usually observable only in partially linear systems. We show that PS could, by means of …

Synchronized clusters in coupled map networks. I. Numerical studies

S Jalan, RE Amritkar, CK Hu - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
We study the synchronization of coupled maps on a variety of networks including regular
one-and two-dimensional networks, scale-free networks, small world networks, tree …

Stability criterion for projective synchronization in three-dimensional chaotic systems

Z Li, D Xu - Physics Letters A, 2001 - Elsevier
Projective synchronization, in which the state vectors synchronize up to a scaling factor, has
recently been observed in coupled partially linear chaotic systems (Lorenz system) under …

Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems

D Xu, Z Li, SR Bishop - Chaos: An Interdisciplinary Journal of …, 2001 - pubs.aip.org
Scaling factor characterizes the synchronized dynamics of projective synchronization in
partially linear chaotic systems but it is difficult to be estimated. To manipulate projective …