Peculiarities of resonance chaos suppression in populations with non-overlapping generations

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Abstract

Peculiarities of the resonance chaos suppression (RCS) phenomenon are studied for biological populations with non-overlapping generations under a periodic perturbation of the Malthusian and carrying capacity parameters for the two-parameter Ricker map model. This phenomenon is shown to be described by splitting structures in the resonance neighborhood that differ from classical unimodal curves. The perturbation amplitude sufficient for the RCS may be very small compared to the parameter values. The periodical changes from a chaotic pattern to a cyclic one are found for the population dynamics when the perturbation periods have definite values. The hierarchy of oscillation regimes arises with periods that differ by several orders of magnitude.

Original languageEnglish
Pages (from-to)115-127
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume179
Issue number1-2
DOIs
Publication statusPublished - 1 May 2003

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Keywords

  • Chaos suppression
  • Population dynamics

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

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