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MiS Preprint
60/2004
Global Analysis of Synchronization in Coupled Maps
Jürgen Jost and Kiran M. Kolwankar
Abstract
We introduce a new method for determining the global stability of synchronization in systems of coupled identical maps. The method is based on the study of invariant measures. We apply it here to the simplest non-trivial example, namely two symmetrically coupled tent maps. We thus identify the precise value of the coupling parameter where synchronizing and desynchronizing transitions take place.
