Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.20: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Networks of chaotic units mutually coupled by their delayed variables — •Johannes Kestler, Markus Mützel, and Wolfgang Kinzel — Theoretische Physik, Universität Würzburg

Identical chaotic systems which are mutually coupled by some of their time-delayed variables can synchronize to a common chaotic trajectory. We investigate this phenomenon for small networks of iterated maps. Analytic calculations of Lyapunov spectra show that high-dimensional chaos is synchronized by delayed couplings. The phase diagrams of complete and sublattice synchronization are calculated analytically for several networks. Time-shifted correlations between different units are calculated numerically. Results are presented for complete, sublattice, achronal and generalized synchronization, de- and re-synchronization after closing the connection and mutual chaos pass filter.