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.
Reprints are available for download to subscribers from the journal website: doi: 10.1103/PhysRevA.33