Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system

By Zuohuan Zheng, Guanrong Chen. 2006

46 citations recorded by the source corpus.

In this paper, the existence of heteroclinic orbits of Shil'nikov type in a three-dimensional quadratic autonomous system is proved. Four heteroclinic orbits and four critical points together constitute two cycles simultaneously. The dynamical behaviors of the system are also studied.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6c553a4cf6d6d7f5966cdcaa73604d292a62c034