Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 250, Issue 4, Pages 1967-2023Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2010.11.016
Keywords
Singularity; Non-smooth vector field; Structural stability; Bifurcation
Categories
Funding
- Spanish MCyT/FEDER [MTM2009-06973]
- Catalan SGR [2009SGR859]
- FAPESP-Brazil [2007/06896-05]
- Spanish PhD grant [FPU AP2005-1314]
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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. (c) 2010 Elsevier Inc. All rights reserved.
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