Local generic behavior of a planar Filippov system with non-smooth switching curve
| Autor: | Juliana Larrosa, Marco Antonio Teixeira, Tere M-Seara |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Differential equations
General Mathematics Mathematical analysis 34 Ordinary differential equations [Classificació AMS] Codimension Non smooth Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries [Àrees temàtiques de la UPC] Set (abstract data type) Structural stability Planar Generic bifurcations Computational Theory and Mathematics Versal unfoldings Piecewise Gravitational singularity Vector field Discontinuous systems Equacions diferencials ordinàries Statistics Probability and Uncertainty Mathematics |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| DOI: | 10.1007/s40863-021-00270-z |
| Popis: | The version of record is available online at: http://dx.doi.org/10.1007/s40863-021-00270-z This paper discusses the generic local classification of typical singularities of 2D piecewise smooth vector fields when the switching set is an non smooth curve. The main goal is to obtain classification results concerning structural stability and generic codimension one local bifurcations. Tere M. Seara the Catalan Grant 2014SGR504. Tere M-Seara is also supported by the Russian Scientic Foundation grant 14-41-00044 and the European Marie Curie Action FP7-PEOPLE-2012-IRSES: BREUDS. J. Larrosa has been supported by FAPESP grants 2011/22529-8 and 2014/13970-0 and the European Marie Curie Action FP7-PEOPLE-2012-IRSES: BREUDS. |
| Databáze: | OpenAIRE |
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