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Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits

Tiantian Wu

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

E-mail Address: wutiantian1021@126.com

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Xiao-Song Yang

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

E-mail Address: yangxs@hust.edu.cn

Corresponding author

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https://doi.org/10.1142/S0218127416500991Cited by:6 (Source: Crossref)

Abstract

Based on mathematical analysis, this paper provides a methodology to ensure the existence of homoclinic orbits in a class of four-dimensional piecewise affine systems. In addition, an example is provided to illustrate the effectiveness of the method.

Keywords:

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