On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes

DOI10.1007/s11071-017-3856-8zbMath1390.37039OpenAlexW2765499120MaRDI QIDQ1640176

Yanli Chen, Xiao-Song Yang, Lei Wang

Publication date: 14 June 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3856-8

zbMATH Keywords

piecewise affine systemsheteroclinic cycleschaos generatortwo switching planes

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds ⋮ Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems

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