Abstract
The goal of this project is to study rigorous computational methods to compute invariant manifolds of differential equations and to apply these methods to some well know ODE models. (AU)
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Bernardo Augusto do Prado Rivas
CV Lattes
Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Graduated in Mathematics at ICMC/USP. Master degree in Mathematics at ICMC/USP in progress. (Source: Lattes Curriculum)
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Scholarships in Brazil
- Rigorous computation of invariant manifolds, BP.MS
- Introduction to the theory of distributions, BP.IC
Abstract
This is an introductory study of the theory of distributions with applications to partial differential equations.
- Lebesgue integral, functional analysis and linear algebra, BP.IC
Abstract
The main objective of this project is the study of fundamental concepts of Analysis, Lebesgue Integral and Functional Analysis, in order to deepen the knowledge of students in mathematics and gives them a solid foundation to improve their academic and professional lives. This project is divided into two parts. The first is intended for the study of the measure theory, more specifically th…
Scholarships abroad
- Rigorous computation of heteroclinic bifurcations in ordinary differential equations., BE.EP.MS
Abstract
The goal of this project is to study rigorous computational methods to compute connecting orbits in ODEs and use these methods to study heteroclinic bifurcations. A study of the state of the art is proposed alongside the application of the methods in some well known ODE models.
Total / Available in English
| 3 / 3 | Completed scholarships in Brazil |
| 1 / 1 | Completed scholarships abroad |
| 4 / 4 | All Scholarships |
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