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

Research output: Contribution to journalJournal article

Published

Journal publication date19/08/2005
JournalPhysical Review E
Journal number2
Volume72
Pages026214
Original languageEnglish

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).