Chaotic behavior of three competing species of May-Leonard model under small periodic perturbations

Valentin S. Afraimovich, Sze Bi Hsu, Huey Er Lin

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The influence of periodic perturbations to a Lotka-Volterra system, modeling a competition between three species, is studied, provided that in the unperturbed case the system has a unique attractor - a contour of heteroclinic orbits joining unstable equilibria. It is shown that the perturbed system may manifest regular behavior corresponding to the existence of a smooth invariant torus, and, as well, may have chaotic regimes depending on some parameters. Theoretical results are confirmed by numerical simulations.

Original languageEnglish
Pages (from-to)435-447
Number of pages13
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume11
Issue number2
DOIs
Publication statusPublished - 2001 Feb

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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