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SYMA: Mathematical Aspects of Dynamical Systems

SYMA II: HV II

SYMA II.1: Hauptvortrag

Montag, 20. März 2000, 10:55–11:35, H 04

From a Coupled Map Lattice to a Kinetic Ising Model — •Holger Kantz, Frank Schmüser, and Wolfram Just — Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer Str. 38, D-01187 Dresden, Germany

A particular one-dimensional coupled map lattice is studied in view of different types of global attractors and bifurcations between them. A perturbation theoretic approach allows to derive analytically results for the bifurcation lines in parameter space. For certain regimes, via coarse graining and a master equation, this model can be mapped onto a kinetic Ising model, whose temperature is uniquely determined by the parameters of the coupled map lattice.