Limit-cycle oscillators subject to a delayed feedback

T. Erneux, J. Grasman

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)


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.
Original languageEnglish
Article number026209
Pages (from-to)1-8
JournalPhysical Review. E, Statistical nonlinear, and soft matter physics
Issue number2
Publication statusPublished - 2008


  • der-pol oscillator
  • chemical oscillations
  • turing structures
  • van
  • illumination
  • bifurcation


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