Rank one chaos in a class of planar systems with heteroclinic cycle.
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.
Chen
Fengjuan
F
Department of Mathematics, Shanghai Normal University, Shanghai 200234, People's Republic of China. fjchen@zjnu.cn
Han
Maoan
M
D000465:Algorithms; D003198:Computer Simulation; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*