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| Author(s): |
Paulo Henrique Reis Santana
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São José do Rio Preto. 2021-07-15. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2021-06-28 |
| Advisor: | Claudio Aguinaldo Buzzi; Jaume Llibre |
| Abstract | |
In this work one will see the phase portraits, in the Poincaré disk, of the local normal forms of symmetrical singularities of reversible vector fields of type (2; 0) and (2; 1); an application of the Averaging Theory at the field of Astrophysics, aiming the study of the periodic orbits in a model of the Friedmann-Robertson-Walker universe; and some generalizations of well established results about the polycycles in smooth vector fields to the non-smooth cases, aiming a better understanding of its stability and the bifurcation of limit cycles. (AU) | |
| FAPESP's process: | 18/23194-9 - Global Study of Reversible vector fields of type (2,0) |
| Grantee: | Paulo Henrique Reis Santana |
| Support Opportunities: | Scholarships in Brazil - Master |