Role of unstable periodic orbits in phase and lag synchronization between coupled chaotic oscillators

An increase of the coupling strength in the system of two coupled Rössler oscillators leads from a nonsynchronized state through phase synchronization to the regime of lag synchronization. The role of unstable periodic orbits in these transitions is investigated. Changes in the structure of attracti...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2003-03, Vol.13 (1), p.309-318
Hauptverfasser: Pazó, Diego, Zaks, Michael A., Kurths, Jürgen
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Sprache:eng
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Zusammenfassung:An increase of the coupling strength in the system of two coupled Rössler oscillators leads from a nonsynchronized state through phase synchronization to the regime of lag synchronization. The role of unstable periodic orbits in these transitions is investigated. Changes in the structure of attracting sets are discussed. We demonstrate that the onset of phase synchronization is related to phase-lockings on the surfaces of unstable tori, whereas transition from phase to lag synchronization is preceded by a decrease in the number of unstable periodic orbits.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.1518430