Existence of Chaotic Invariant Set in a Class of 4-Dimensional Piecewise Linear Dynamical Systems

摘要

For a class of 4-dim piecewise linear dynamical systems, some sufficient conditions for the existence of homoclinic orbit and chaotic invariant set are provided. Especially, the existence of chaotic invariant set is proved in terms of the constructed Poincare map with a topological horseshoe. A numerical example with chaotic attractor is provided to illustrate our main result.