Global ultradifferentiable functions, complex analysis, and PDE's
Qualitative theory of differential equations and compactification of vector fields
Introduction to geometric theory of ordinary differential equations
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Author(s): |
Tiago de Carvalho
Total Authors: 1
|
Document type: | Master's Dissertation |
Press: | São Carlos. |
Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
Defense date: | 2007-02-13 |
Examining board members: |
Carlos Teobaldo Gutierrez Vidalon;
Carlos Alberto Maquera Apaza;
Ali Messaoudi
|
Advisor: | Carlos Teobaldo Gutierrez Vidalon |
Abstract | |
The main result of this dissertation guarantees that give any continuous flow on a smooth compact 2-manifold, there exist a \'CPOT. 1\'-flow topologically equivalent to it. Moreover, when every minimal set of \'varphi\' is trivial, \'varphi\' is topologically equivalent to a smooth flow (AU) |