A new class of 3-dimensional piecewise affine systems with homoclinic orbits

DOI10.3934/dcds.2016022zbMath1365.37026OpenAlexW2385406935MaRDI QIDQ321621

Xiao-Song Yang, Tiantian Wu

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016022

zbMATH Keywords

homoclinic orbitchaotic system3-dimensional piecewise system

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (11)

On ground-state homoclinic orbits of a class of superquadratic damped vibration systems ⋮ On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes ⋮ On the existence of bifocal heteroclinic cycles in a class of four-dimensional piecewise affine systems ⋮ On the existence of homoclinic orbits in \(n\)-dimensional piecewise affine systems ⋮ On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems ⋮ Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles ⋮ Homoclinic orbits and an invariant chaotic set in a new 4D piecewise affine systems ⋮ Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds ⋮ Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci ⋮ Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems ⋮ Singular cycles and chaos in piecewise-affine systems

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