| Grant number: | 19/00028-9 |
| Support type: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | April 01, 2019 |
| Effective date (End): | June 30, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal researcher: | Tiago de Carvalho |
| Grantee: | Isadora Zanato Leite |
| Home Institution: | Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil |
| Associated research grant: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM |
Abstract Throughout this project we will study the qualitative theory of Ordinary Differential Equations (ODEs). This study will be implemented through analysis of the phase portraits, which will provide us qualitative/geometric information’s regarding the dynamic behavior of such systems. Then we will deal with the formal results regarding the qualitative theory of vector fields including: The Existence and Uniqueness Theorem, the Flow Box Theorem, Grobman-Hartman's Theorem and The Poincaré-Bendixson's Theorem. | |
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