Sublattice synchronization of chaotic networks with delayed couplings

Johannes Kestler, Wolfgang Kinzel, Ido Kanter

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Synchronization of chaotic units coupled by their time-delayed variables is investigated analytically. A type of cooperative behavior is found: Sublattice synchronization. Although the units of one sublattice are not directly coupled to each other, they completely synchronize without time delay. The chaotic trajectories of different sublattices are only weakly correlated but not related by generalized synchronization. Nevertheless, the trajectory of one sublattice is predictable from the complete trajectory of the other one. The spectra of Lyapunov exponents are calculated analytically in the limit of infinite delay times, and phase diagrams are derived for different topologies.

Original languageEnglish
Article number035202
JournalPhysical Review E
Issue number3
StatePublished - 28 Sep 2007


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