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An introduction to the structural stability of planar 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


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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