Planar phase portraits and generic bifurcations of reversible vector fields
Integrability of two-dimensional polynomial differential systems
An introduction to the qualitative theory and bifurcations of dynamical systems
Grant number: | 18/23194-9 |
Support Opportunities: | Scholarships in Brazil - Master |
Start date: | March 01, 2019 |
End date: | June 30, 2021 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Claudio Aguinaldo Buzzi |
Grantee: | Paulo Henrique Reis Santana |
Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
Associated research grant: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM |
Associated scholarship(s): | 19/21446-3 - Global study of reversible vector fields of type (2;1), BE.EP.MS |
Abstract Classification of the global phase portraits of the normal forms of the reversible vector fields of type (2; 0) of codimension zero and one. This is the exhibition of all possible global phase portraits of this class of vector fields on the Poincaré disk. We will use as tools: Hartman's Theorem, Center Manifold Theorem, Reversibility, Normal Forms, Blow up and Poincaré Compactification. (AU) | |
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