Generic bifurcations of low codimension of planar Filippov Systems

Martínez-Seara Alonso, M. Teresa; Guàrdia Munarriz, Marcel; Teixeira, Marco Antonio

doi:10.1016/j.jde.2010.11.016

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Martínez-Seara Alonso, M. Teresa

Guàrdia Munarriz, Marcel

Teixeira, Marco Antonio

Document typeArticle

Defense date2011-02

Rights accessRestricted access - publisher's policy

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

In this article some qualitative and geometric aspects of non-smooth dynamical systems theory are discussed. The main aim of this article is to develop a systematic method for studying local(and global) bifurcations in non-smooth dynamical systems. Our results deal with the classification and characterization of generic codimension-2 singularities of planar Filippov Systems as well as the presentation of the bifurcation diagrams and some dynamical consequences

CitationGuardia, M.; Martinez-Seara, M.; Teixeira, M. A. Generic bifurcations of low codimension of planar Filippov Systems. "Journal of differential equations", Febrer 2011, vol. 250, núm. 4, p. 1967-2023.

URIhttp://hdl.handle.net/2117/26671

DOI10.1016/j.jde.2010.11.016

ISSN0022-0396

Publisher versionhttp://www.sciencedirect.com/science/article/pii/S0022039610004456

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Generic bifurcations of low codimension of planar Filippov Systems

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