Patterns of Chaos Synchronization

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 sub...

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Veröffentlicht in:arXiv.org 2008-01
Hauptverfasser: Kestler, Johannes, Kopelowitz, Evi, Kanter, Ido, Kinzel, Wolfgang
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Kanter, Ido
Kinzel, Wolfgang
description 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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subjects Broken symmetry
Networks
Physics - Chaotic Dynamics
Synchronism
Time lag
Time synchronization
title Patterns of Chaos Synchronization
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