On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane

DOI10.1137/100817309zbMath1260.34023arXiv1207.6356OpenAlexW1988912567MaRDI QIDQ4904548

Marco Antonio Teixeira, Claudio A. Buzzi, Tiago de Carvalho

Publication date: 30 January 2013

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6356

zbMATH Keywords

bifurcationlimit cyclecanard cyclepseudoequilibriumnonsmooth vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Canard solutions to ordinary differential equations (34E17)

Related Items (7)

Asymptotic stability and bifurcations of 3D piecewise smooth vector fields ⋮ On the closing lemma for planar piecewise smooth vector fields ⋮ A note on Vishik's normal form ⋮ Slow-fast \(n\)-dimensional piecewise linear differential systems ⋮ Birth of limit cycles bifurcating from a nonsmooth center ⋮ Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields ⋮ On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities

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