Limit-cycle oscillators subject to a delayed feedback

被引：13

作者：

Erneux, Thomas ^{[1
]}

Grasman, Johan ^{[2
]}

机构：

[1] Univ Libre Bruxelles, B-1050 Brussels, Belgium

[2] Wageningen Univ, Grp Math & Stat Methods, NL-6700 AC Wageningen, Netherlands

来源：

PHYSICAL REVIEW E | 2008年 / 78卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.78.026209

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The coexistence of two stable limit cycles exhibiting different periods is examined for a nonlinear oscillator subject to a delayed feedback. For the case of a weakly nonlinear oscillator, we discuss the validity of a previously determined phase equation. For the case of a strongly nonlinear oscillator, we derive a phase equation and analyze its bifurcation diagram. Our analysis is motivated by previous experimental studies of chemical oscillators controlled by a delayed feedback.

引用

页数：8

共 32 条

[1]

[Anonymous], 2019, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

[2] Van der Pol's oscillator under delayed feedback [J].