English

Patterns of Chaos Synchronization

Chaotic Dynamics 2009-11-13 v1

Abstract

Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize completely, but can also split into different synchronized sublattices. These synchronization patterns are stable attractors of the network dynamics. Different networks with their associated behaviors and synchronization patterns are presented. In particular, we investigate sublattice synchronization, symmetry breaking, spreading chaotic motifs, synchronization by restoring symmetry and cooperative pairwise synchronization of a bipartite tree.

Keywords

Cite

@article{arxiv.0801.0488,
  title  = {Patterns of Chaos Synchronization},
  author = {Johannes Kestler and Evi Kopelowitz and Ido Kanter and Wolfgang Kinzel},
  journal= {arXiv preprint arXiv:0801.0488},
  year   = {2009}
}
R2 v1 2026-06-21T09:59:12.917Z