Phys. Rev. E 78, 026209 (2008) [8 pages]Limit-cycle oscillators subject to a delayed feedbackReceived 8 January 2008; published 19 August 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.026209
DOI:
10.1103/PhysRevE.78.026209
PACS:
05.45.−a, 02.30.Ks
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