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Published on: September 20, 2017
Sublattice synchronization of chaotic networks with delayed couplings
Johannes Kestler1, Wolfgang Kinzel, Ido Kanter
1Institute for Theoretical Physics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany.
Abstract:
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.
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