Entrainment regions for periodically forced oscillators

D. G. Aronson; Richard P McGehee; I. G. Kevrekidis; R. Aris

doi:10.1103/PhysRevA.33.2190

Entrainment regions for periodically forced oscillators

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

School of Mathematics

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45 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	2190-2192
Number of pages	3
Journal	Physical Review A
Volume	33
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.33.2190
State	Published - Jan 1 1986

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10.1103/PhysRevA.33.2190

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abstract = "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.",

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AB - 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.

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Entrainment regions for periodically forced oscillators

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