On the Number of Invariant Cones and Existence of Periodic Orbits in 3-dim Discontinuous Piecewise Linear Systems

DOI10.1142/S0218127416500437zbMath1336.37026OpenAlexW2329152803MaRDI QIDQ2806166

Song-Mei Huan, Xiao-Song Yang

Publication date: 17 May 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416500437

zbMATH Keywords

periodic orbitpiecewise linear systemsinvariant cone

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10)

Related Items (4)

Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ Bifurcation of piecewise smooth manifolds from 3D center-type vector fields ⋮ Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones ⋮ Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

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