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

doi:10.1088/1674-1056/27/11/110201

中国物理B ›› 2018, Vol. 27 ›› Issue (11): 110201-110201.doi: 10.1088/1674-1056/27/11/110201

所属专题： SPECIAL TOPIC — 80th Anniversary of Northwestern Polytechnical University (NPU)

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇

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

Wenjing Xu(徐文静), Wei Xu(徐伟), Li Cai(蔡力)

School of Science, Northwestern Polytechnical University, Xi'an 710129, China

收稿日期:2018-06-20 修回日期:2018-09-05 出版日期:2018-11-05 发布日期:2018-11-05
通讯作者: Wei Xu E-mail:weixu@nwpu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11472212 and 11532011).

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

Wenjing Xu(徐文静), Wei Xu(徐伟), Li Cai(蔡力)

School of Science, Northwestern Polytechnical University, Xi'an 710129, China

Received:2018-06-20 Revised:2018-09-05 Online:2018-11-05 Published:2018-11-05
Contact: Wei Xu E-mail:weixu@nwpu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11472212 and 11532011).

摘要/Abstract

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.

关键词: heteroclinic cycle, chaos, discontinuous piecewise affine system

Abstract:

Key words: heteroclinic cycle, chaos, discontinuous piecewise affine system

中图分类号: (Numerical approximation and analysis)

02.60.-x

05.45.-a (Nonlinear dynamics and chaos)

徐文静, 徐伟, 蔡力. Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems[J]. 中国物理B, 2018, 27(11): 110201-110201.

Wenjing Xu(徐文静), Wei Xu(徐伟), Li Cai(蔡力). Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems[J]. Chin. Phys. B, 2018, 27(11): 110201-110201.

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

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

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