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

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

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

13 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)435-447
頁數13
期刊International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11
發行號2
DOIs
出版狀態已發佈 - 2001 二月
對外發佈

ASJC Scopus subject areas

  • 建模與模擬
  • 工程(雜項)
  • 多學科
  • 應用數學

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