Hopf Period 3
University of Minnesota
School of Mathematics


Entrainment regions for periodically forced oscillators

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

Physical Review A 33 (3) (1986), 190-2192. doi: 10.1103/PhysRevA.33


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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doi: 10.1103/PhysRevA.33


Last update: May 18, 2018 ©2018 Richard McGehee