Applications of Computational and Topological Methods to Dynamical Systems
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Rigorous computation of invariant manifolds
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| Author(s): |
Bernardo Augusto do Prado Rivas
Total Authors: 1
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| 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: | 2019-02-28 |
| Examining board members: |
Ma To Fu;
Everaldo de Mello Bonotto;
Antonio Castelo Filho;
Ewerton Rocha Vieira
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| Advisor: | Márcio Fuzeto Gameiro |
| Abstract | |
The present work is an introduction to rigorous computational methods applied in nonlinear dynamical systems. A brief description of the theory on differential equations and functional analysis is given, followed by the methods and its applications in details. (AU) | |
| FAPESP's process: | 16/21170-0 - Rigorous computation of invariant manifolds |
| Grantee: | Bernardo Augusto do Prado Rivas |
| Support Opportunities: | Scholarships in Brazil - Master |