Patterns of Chaos Synchronization

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.

References in corpus (5)

• Zero-lag long-range synchronization via dynamical relaying
• Delays, connection topology, and synchronization of coupled chaotic maps
• Public-channel cryptography based on mutual chaos pass filters
• Sublattice synchronization of chaotic networks with delayed couplings
• Spiking Optical Patterns and Synchronization