Global Analysis of Synchronization in Coupled Maps

Juergen Jost; Kiran M. Kolwankar

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arXiv · nlin/0409043

Global Analysis of Synchronization in Coupled Maps

Juergen Jost·Kiran M. Kolwankar

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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. Besides the simplest non-trivial example, namely two symmetrically coupled tent maps, we also treat the case of two asymmetrically coupled tent maps as well as a globally coupled network. Our main result is the identification of the precise value of the coupling parameter where the synchronizing and desynchronizing transitions take place.

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Juergen Jost, Kiran M. Kolwankar. 2005-12-02. Global Analysis of Synchronization in Coupled Maps. https://arxiv.org/abs/nlin/0409043

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