Rank one chaos in a class of planar systems with heteroclinic cycle

Chaos. 2009 Dec;19(4):043122. doi: 10.1063/1.3263945.

Abstract

In this paper, we study rank one chaos in a class of planar systems with heteroclinic cycle. We first find a stable limit cycle inside the heteroclinic cycle. We then add an external periodic forcing to create rank one chaos. We follow a step-by-step procedure guided by the theory of rank one chaos to find experimental evidence of strange attractors with Sinai, Ruelle, and Bowen measures.

MeSH terms

  • Algorithms*
  • Computer Simulation
  • Nonlinear Dynamics*
  • Oscillometry / methods*