Canonical forms for codimension one planar piecewise smooth vector fields with sliding region

DOI10.1007/s10884-017-9636-9zbMath1421.34025OpenAlexW2782461212MaRDI QIDQ1616383

João Lopes Cardoso, Durval José Tonon, Tiago de Carvalho

Publication date: 6 November 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9636-9

zbMATH Keywords

canonical formsbifurcationsingularitypiecewise smooth vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Related Items

Linearization and perturbations of piecewise smooth vector fields with a boundary equilibrium, Structural stability for 2-dimensional piecewise smooth vector fields where the switching manifold is a double discontinuity, Singularly perturbed boundary-equilibrium bifurcations, Singularly perturbed boundary-focus bifurcations

Cites Work

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• Birth of limit cycles bifurcating from a nonsmooth center
• Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields
• One-Parameter Bifurcations in Planar Filippov Systems