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Role of saddle tori in the mutual synchronization of periodic oscillations

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posted on 15.05.2006 by Alexander G. Balanov, Natalia B. Janson, V.V. Astakhov, P.V.E. McClintock
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).

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  • Science

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  • Mathematical Sciences

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454329 bytes

Citation

BALANOV et al, 2005. Role of saddle tori in the mutual synchronization of periodic oscillations. Physical Review E, 72(2), 026214

Publisher

© American Physical Society

Publication date

2005

Notes

This article was published in the journal, Physical Review E [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRE/v72/e026214.

ISSN

1063-651x

Language

en

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