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Wu, T.T. and Yang, X.-S. (2016) A New Class of 3-Dimensional Piecewise Affine Systems with Homoclinic Orbits. Discrete and Continuous Dynamical Systems, 36, 5119-5129.
https://doi.org/10.3934/dcds.2016022

has been cited by the following article:

• TITLE: Heteroclinic Cycles in a Class of 3-Dimensional Piecewise Affine Systems

  AUTHORS: Minghao Liu, Ruimin Liu

  KEYWORDS: Piecewise Affine System, Heteroclinic Cycle, Chaotic Invariant Set

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.2, February 29, 2024

  ABSTRACT: This paper explores the existence of heteroclinic cycles and corresponding chaotic dynamics in a class of 3-dimensional two-zone piecewise affine systems. Moreover, the heteroclinic cycles connect two saddle foci and intersect the switching manifold at two points and the switching manifold is composed of two perpendicular planes.