Affiliation:
1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
Abstract
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 Poincaré map with a topological horseshoe. A numerical example with chaotic attractor is provided to illustrate our main result.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
27 articles.
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