Generic bifurcations and equivalence relations in piecewise smooth vector fields
Bifurcations of three-parameter families of non-smooth planar systems
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Generic bifurcations and equivalence relations in piecewise smooth vector fields
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| Author(s): |
Otávio Henrique Perez
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São José do Rio Preto. 2017-03-09. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2017-02-23 |
| Advisor: | Tiago de Carvalho |
| Abstract | |
In this work we study qualitative and geometric aspects of piecewise smooth vector fields. Our focus is to study local and global bifurcations of codimension one and two and some equivalence relations for piecewise smooth vector fields defined on the plane. We will classify and characterize generic bifurcations using the phase portrait and the bifurcation diagram of the vector fields involved. We also incorporate a brief introduction about Slow-Fast Systems. (AU) | |
| FAPESP's process: | 14/18707-6 - Generic bifurcations and equivalence relations in piecewise smooth vector fields |
| Grantee: | Otavio Henrique Perez |
| Support Opportunities: | Scholarships in Brazil - Master |