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Generic bifurcations of planar Filippov systems via geometric singular perturbations

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Publication:657668
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zbMath1247.34024MaRDI QIDQ657668

Durval José Tonon, Tiago de Carvalho

Publication date: 10 January 2012

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1323787173


zbMATH Keywords

bifurcationgeometric singular perturbationdiscontinuous planar vector fieldsFilipov's systemsfold-fold singularity


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)


Related Items (6)

Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup ⋮ Singularly perturbed boundary-equilibrium bifurcations ⋮ A flow on \(S^2\) presenting the ball as its minimal set ⋮ Singularly perturbed boundary-focus bifurcations ⋮ Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles ⋮ Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop







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