On three-parameter families of Filippov systems -- the fold-saddle singularity

preprint2012arXivOpen access

Abstract

This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension three fold-addle singularities of Filippov systems, where a boundary-saddle and a fold coincide, are considered and the bifurcation diagrams exhibited.

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