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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.

Received:
Sep 20, 2004
Published:
Sep 20, 2004
PACS:
05.45.Ra, 05.45.Xt
Keywords:
synchronization, coupled maps, invariant measures

Related publications

inJournal
2006 Repository Open Access
Jürgen Jost and Kiran Murlidhar Kolwankar

Global analysis of synchronization in coupled maps

In: International journal of bifurcation and chaos in applied sciences and engineering, 16 (2006) 12, pp. 3695-3703