Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems
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Publication:2315101
DOI10.1016/j.jmaa.2019.04.070zbMath1430.34017OpenAlexW2944418872MaRDI QIDQ2315101
Wenjing Xu, Kai Lü, Qi-Gui Yang
Publication date: 31 July 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.04.070
Discontinuous ordinary differential equations (34A36) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn, Chaos emerges from coexisting homoclinic cycles for a class of 3D piecewise systems, Limit cycles and bifurcations in a class of planar piecewise linear systems with a nonregular separation line, Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles, The \(C^1\) persistence of heteroclinic repellers in \(\mathbb{R}^n\), Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds, Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems
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