Entrainment regions for periodically forced oscillators

D. G. Aronson, R. P. McGehee, I. G. Kevrekidis, R. Aris

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


A natural oscillator subjected to periodic forcing with adjustable frequency and amplitude may behave aperiodically or be entrained to oscillate with an integer multiple of the forcing period. Entrainments occur in subsets of the frequency-amplitude plane and are well understood for very small forcing amplitude. We investigate the mechanisms by which entrainments are terminated at moderate amplitudes and support our theory by numerical experiments on a model chemical oscillator.

Original languageEnglish (US)
Pages (from-to)2190-2192
Number of pages3
JournalPhysical Review A
Issue number3
StatePublished - 1986

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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