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Master's Dissertation
DOI
Document
Author
Full name
Bernardo Augusto do Prado Rivas
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2019
Supervisor
Committee
Fu, Ma To (President)
Bonotto, Everaldo de Mello
Castelo Filho, Antonio
Vieira, Ewerton Rocha
Title in Portuguese
Computação rigorosa de variedades invariantes
Keywords in Portuguese
Computação rigorosa
Sistemas dinâmicos não lineares
Abstract in Portuguese
Este trabalho é uma introdução a métodos computacionais rigorosos utilizados no estudo de sistemas dinâmicos não lineares. A priori, é dado um panorama de conceitos teóricos em equações diferenciais e análise funcional essenciais para o desenvolvimento das ferramentas. Em seguida, os métodos e suas aplicações são descritos em detalhes.
Title in English
Rigorous computation of invariant manifolds
Keywords in English
Nonlinear dynamical systems
Rigorous computation
Abstract in English
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.
 
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Publishing Date
2019-10-17
 
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