Existence and Stability of Invariant Cones in 3-Dim Homogeneous Piecewise Linear Systems with Two Zones

DOI10.1142/S0218127417500079zbMath1358.34024MaRDI QIDQ2973263

Song-Mei Huan

Publication date: 3 April 2017

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

zbMATH Keywords

invariant manifoldsPoincaré mappiecewise linear systemsinvariant conesslope map

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces ⋮ Bifurcations in four-dimensional switched systems ⋮ Existence of Invariant Cones in General 3-Dim Homogeneous Piecewise Linear Differential Systems with Two Zones

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