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.