Attractor-Repeller Collision and Eyelet Intermittency at the Transition to Phase Synchronization
1997; American Physical Society; Volume: 79; Issue: 1 Linguagem: Inglês
10.1103/physrevlett.79.47
ISSN1092-0145
AutoresArkady Pikovsky, Г. В. Осипов, Michael G. Rosenblum, Michael A. Zaks, Jürgen Kurths,
Tópico(s)Quantum chaos and dynamical systems
ResumoThe chaotically driven circle map is considered as the simplest model of phase synchronization of a chaotic continuous-time oscillator by external periodic force. The phase dynamics is analyzed via phase-locking regions of the periodic cycles embedded in the strange attractor. It is shown that full synchronization, where all the periodic cycles are phase locked, disappears via the attractor-repeller collision. Beyond the transition an intermittent regime with exponentially rare phase slips, resulting from the trajectory's hits on an eyelet, is observed.
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