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Tigan, G. and Turaev, D. (2011) Analytical Search for Homoclinic Bifurcations in the Shimizu-Morioka Model. Physica D: Nonlinear Phenomena, 240, 895-989.
https://doi.org/10.1016/j.physd.2011.02.013

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.