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Generic bifurcations of low codimension of planar Filippov Systems
Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa; Teixeira, Marco Antonio
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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 typical singularities of planar Filippov systems as well as the presentation of the bifurcation diagrams and some dynamical consequences
Àrees temàtiques de la UPC::Matemàtiques i estadística
singularity
non-smooth vector field
structural stability
bifurcation
Equacions diferencials parcials
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Article - Draft
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