Role of saddle tori in the mutual synchronization of periodic oscillations.

Balanov, A. G. and Janson, N. B. and Astakhov, V. V. and McClintock, Peter V. E. (2005) Role of saddle tori in the mutual synchronization of periodic oscillations. Physical Review E, 72 (2). 026214. ISSN 1539-3755

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Abstract

We show that in the mutual synchronization of periodic oscillators, besides an attracting torus, there is also a saddle torus that plays an equally important role. We demonstrate that the saddle and stable tori form an elegant structure, allowing for a variety of phenomena, both known and new, related to the origin and evolution of coexisting synchronous regimes (phase multistability).