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| Author(s): |
Mayara Duarte de Araujo Caldas
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2019-03-15 |
| Examining board members: |
Ricardo Miranda Martins;
Iris de Oliveira Zeli;
Kamila da Silva Andrade
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| Advisor: | Ricardo Miranda Martins |
| Abstract | |
In this work we study piecewise smooth dynamical systems, in particular a class of planar systems with infinitely many zones, to obtain some results on the asymptotic stability of a singular point and the structural stability of vector fields in this class of dynamical systems. In the first case, we consider the zones as open unitary squares and we define in each square a linear homogeneous vector field, giving rise to a discontinuous vector field. We establish sufficient conditions such that the origin is globally asymptotic stable, for this class of dynamical systems. In the second case, we consider the plane divided into a non-uniform rectangular mesh and we define a polynomial vector field that is linear and non-homogeneous in each retangle. We study the structural stability for this class of vector fields (AU) | |
| FAPESP's process: | 16/21975-8 - Piecewise linear dynamical systems (in infinitely many zones): structural stability and asymptotic stability |
| Grantee: | Mayara Duarte de Araujo Caldas |
| Support Opportunities: | Scholarships in Brazil - Master |