Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 32: Synchronization

DY 32.2: Talk

Friday, March 30, 2007, 10:30–10:45, H3

Sublattice synchronization of chaotic networks with delayed couplings — •Wolfgang Kinzel and Johannes Kestler — Theoretische Physik, Universität Würzburg

Chaotic systems, mutually coupled by their delayed variables, can synchronize to a common chaotic trajectory. This phenomenon may lead to interesting applications for secret communication with chaotic semiconductor lasers. We investigate networks of delay-coupled chaotic units which can be decomposed into two interconnected sublattices. For some values of the couplings we find sublattice synchronization: Each sublattice has a common chaotic trajectory, but the two sublattices are not synchronized. Although each sublattice is causing the synchronization of the other one, the sublattices are only correlated but not synchronized, not even in the meaning of generalized synchronization. Phase diagrams and spectra of Lyapunov exponents are calculated analytically for networks of iterated Bernoulli maps with delayed feedback and couplings.