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具有延迟耦合的两个极限环振荡器的锁相

Phase locking of two limit cycle oscillators with delay coupling.

作者信息

Usacheva S A, Ryskin N M

机构信息

Saratov State University, 83 Astrakhanskaya st., Saratov 410012, Russia.

出版信息

Chaos. 2014 Jun;24(2):023123. doi: 10.1063/1.4881837.

Abstract

Mutual phase locking in the system of two limit cycle oscillators with delay coupling is studied. Conditions of phase locking are derived as a result of analysis of a generalized Adler equation. The analytical results are compared with numerical simulation. Depending on the phase shift of the coupling signal propagating between the two oscillators, either in-phase or anti-phase mode of synchronization may arise. The number of possible modes of synchronization increases with the delay time.

摘要

研究了具有延迟耦合的两个极限环振荡器系统中的相互锁相。通过对广义阿德勒方程的分析得出了锁相条件。将分析结果与数值模拟进行了比较。根据在两个振荡器之间传播的耦合信号的相移,可能会出现同相或反相同步模式。同步的可能模式数量随着延迟时间的增加而增加。

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