Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2023.tde-19122023-115037
Document
Author
Full name
Enos Yuiti Ogasawara
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2023
Supervisor
Committee
Brandão, Daniel Smania (President)
Marin, Karina Daniela
Merlo, Mauricio Jose Poletti
Varão Filho, José Régis Azevedo
Marin, Karina Daniela
Merlo, Mauricio Jose Poletti
Varão Filho, José Régis Azevedo
Title in Portuguese
Cociclos lineares em sistemas dinâmicos
Keywords in Portuguese
Cociclos lineares
Expoentes de Lyapunov
Sistemas dinâmicos
Teoria ergódica
Expoentes de Lyapunov
Sistemas dinâmicos
Teoria ergódica
Abstract in Portuguese
Nesta dissertação, apresenta-se uma demonstração do Teorema Ergódico Multiplicativo de Oseledets, seguindo a prova de Viana e Mañé. Apresenta-se também um critério para hiperbolicidade de cociclos (dicotomia exponencial), trabalho devido a Sacker e Sell.
Title in English
Linear cocycles in dynamical systems
Keywords in English
Dynamical systems
Ergodic theory
Linear cocycles
Lyapunov exponents
Ergodic theory
Linear cocycles
Lyapunov exponents
Abstract in English
In this dissertation, we demonstrate the Multiplicative Ergodic Theorem of Oseledets, following the proof of Viana and Mañé. We also present sufficient criteria for the hyperbolicity of linear cocycles (exponential dichotomy), work due to Sacker and Sell.
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Publishing Date
2023-12-19
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Digital Library of Theses and Dissertations of USP. Copyright © 2001-2024. All rights reserved.