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Competition of synchronization domains in arrays of chaotic homoclinic systems

I. Leyva·E. Allaria·S. Boccaletti·F. T. Arecchi
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Abstract

We investigate the response of an open chain of bidirectionally coupled chaotic homoclinic systems to external periodic stimuli. When one end of the chain is driven by a periodic signal, the system propagates a phase synchronization state in a certain range of coupling strengths and external frequencies. When two simultaneous forcings are applied at different points of the array, a rich phenomenology of stable competitive states is observed, including temporal alternation and spatial coexistence synchronization domains.

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I. Leyva, E. Allaria, S. Boccaletti, F. T. Arecchi. 2003-02-04. Competition of synchronization domains in arrays of chaotic homoclinic systems. https://doi.org/10.1103/physreve.68.066209

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