论文部分内容阅读
It is a huge challenge to give an existence theorem for heteroclinic cycles in the high-dimensional discontinuous piecewise systems (DPSs).This paper first provides a new class of four-dimensional (4D) two-zone discontinuous piecewise affine systems (DPASs),and then gives a useful criterion to ensure the existence of heteroclinic cycles in the systems by rigorous mathematical analysis.To illustrate the feasibility and efficiency of the theory,two numerical examples,exhibiting chaotic behaviors in a small neighborhood of heteroclinic cycles,are discussed.