Global Analysis of Synchronization in Coupled Maps
Jürgen Jost and Kiran M. Kolwankar
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Submission date: 20. Sep. 2004
published in: International journal of bifurcation and chaos in applied sciences and engineering, 16 (2006) 12, p. 3695-3703
DOI number (of the published article): 10.1142/S0218127406017087
PACS-Numbers: 05.45.Ra, 05.45.Xt
Keywords and phrases: synchronization, coupled maps, invariant measures
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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.