An introduction to the ordinary differential equations qualitative theory
An introduction to the ordinary diferential equations qualitative theory
Cyclicity and local structural stability of piecewise vector fields
| Grant number: | 12/00937-0 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | March 01, 2012 |
| Effective date (End): | August 31, 2012 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Tiago de Carvalho |
| Grantee: | Ana Flávia Mariano de Sousa |
| Host Institution: | Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil |
Abstract We will begin the project by studying the canonical Jordan form to describe the solutions of linear ordinary differential equations. So, we will study nonlinear systems addressing the Existence and Uniqueness Theorem, the Flow Box Theorem, and the Grobman-Hartman Theorem. Finally, we will study some aspects of the global theory such as the Poincaré-Bendixson Theorem. (AU) | |
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