Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems

• 来源期刊: 中国物理B（英文版）
• 关键词: heteroclinic cycle chaos discontinuous piecewise affine system
• 年，卷（期）: 2018,（11）
• 页码范围: 250-256
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/11/110201

摘要

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.