Patterns of Chaos Synchronization

Details Patterns of Chaos Synchronization Patterns of Chaos Synchronization

2008-01-03

arxiv.org/abs/0801.0488v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.77.046209

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.

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