Role of saddle tori in the mutual synchronization of periodic oscillations

Role of saddle tori in the mutual synchronization of periodic oscillations

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, relat...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-08, Vol.72 (2 Pt 2), p.026214-026214, Article 026214
Hauptverfasser: Balanov, A G, Janson, N B, Astakhov, V V, McClintock, P V E
Format: Artikel
Sprache:eng
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Zusammenfassung: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).
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.72.026214