A new class of 3-dimensional piecewise affine systems with homoclinic orbits

Tiantian  Wu; Xiao-Song  Yang

doi:10.3934/dcds.2016022

Article Contents

2016, Volume 36, Issue 9: 5119-5129. Doi: 10.3934/dcds.2016022

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A new class of 3-dimensional piecewise affine systems with homoclinic orbits

Tiantian Wu^1, and
Xiao-Song Yang^1,

1.
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074

Received: June 30, 2015

Revised: November 30, 2015

Published: May 2017

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Abstract

Based on mathematical analysis, this paper proves the existence of homoclinic orbits in a new class of 3-dimensional piecewise affine systems, and gives an example to illustrate the effectiveness of the method.

Keywords:

Mathematics Subject Classification: Primary: 37D45; Secondary: 37G20.

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References

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