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

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<mark>Journal publication date</mark>19/08/2005
<mark>Journal</mark>Physical Review E
Issue number2
Volume72
Pages (from-to)026214
<mark>State</mark>Published
<mark>Original language</mark>English

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).