Patterns of chaos synchronization.

Phys Rev E Stat Nonlin Soft Matter Phys

Institute for Theoretical Physics, University of Würzburg, Am Hubland, D-97074 Würzburg, Germany.

Published: April 2008

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 cannot 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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http://dx.doi.org/10.1103/PhysRevE.77.046209DOI Listing

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