Phase synchronization of chaotic oscillations in terms of periodic orbits

被引:110
|
作者
Pikovsky, A [1 ]
Zaks, M [1 ]
Rosenblum, M [1 ]
Osipov, G [1 ]
Kurths, J [1 ]
机构
[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany
关键词
D O I
10.1063/1.166265
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the transition to phase synchronization. (C) 1997 American Institute of Physics.
引用
收藏
页码:680 / 687
页数:8
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