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arXiv:1611.03770 [math.DS]AbstractReferencesReviewsResources

Generic behavior of a piecewise smooth vector field with non-smooth switching surface

Juliana Larrosa, Marco A. Teixeira, Tere M-Seara

Published 2016-11-11Version 1

This paper consists in discussing some issues on generic local classification of typical singularities of $2D$ piecewise smooth vector fields when the switching set is an algebraic variety. The main focus is to obtain classification results concerning structural stability and generic codimension one bifurcations.

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