Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics

DOI10.1007/978-3-642-38830-9_13zbMath1348.37032OpenAlexW237698232MaRDI QIDQ2875501

Enrique Ponce, Francisco Torres Peral, Emilio Freire

Publication date: 8 August 2014

Published in: Progress and Challenges in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-38830-9_13

zbMATH Keywords

stability analysisLiénard canonical form

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20)

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Cites Work

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• The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
• Generic bifurcations of low codimension of planar Filippov systems
• Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
• Piecewise-smooth dynamical systems. Theory and applications
• The Focus-Center-Limit Cycle Bifurcation in Discontinuous Planar Piecewise Linear Systems Without Sliding
• One-Parameter Bifurcations in Planar Filippov Systems
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• Canonical Discontinuous Planar Piecewise Linear Systems