• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Doctoral Thesis
DOI
10.11606/T.55.2009.tde-06042010-092349
Document
Author
Full name
Juliano Gonçalves Oler
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2009
Supervisor
Committee
Tahzibi, Ali (President)
Brandão, Daniel Smania
Olivieira, Krerley Irraciel Martins
Senti, Samuel Anton
Vargas, Edson
Title in Portuguese
Estados de equilíbrio para fluxos singular-hiperbólicos e transformações de tipo Lorenz
Keywords in Portuguese
Estados de equilíbrio
Fluxos singular-hiperbólicos
Transformações de tipo Lorenz
Abstract in Portuguese
Neste trabalho tratamos o assunto de existência e unicidade de estados de equilíbrio para uma classe importante de fluxos e aplicações com singularidades. Mostramos a existência de estados de equilíbrio para potenciais contínuos no contexto de fluxos singular-hiperbólicos, em particular fluxos de Lorenz. Demonstramos um critério para unicidade de estados de equilíbrio para aplicações unidimensionais do tipo Lorenz. Utilizando o critério, provamos que potenciais Hölder por partes com único estado de equilíbrio formam um conjunto aberto na topologia 'C POT.0' e que a unicidade ainda é garantida para potenciais próximos a uma constante 'K IND. 0' ' pertence a' R
Title in English
Equilibrium states for singular-hyperbolic flows and Lorenz-like maps
Keywords in English
Equilibrium states
Lorenz-like maps
Singular-hyperbolic flows
Abstract in English
In this work we deal with the existence and uniqueness of equilibrium states for an important class of flows and transformations with singularities. In the context of singular-hyperbolic flows, we show the existence of equilibrium states for continuous potentials. In particular, this shows the existence of equilibrium states for Lorenz-like flows. We prove a criterium for the uniqueness of the equilibrium states of one-dimensional Lorenz-like applications. Using such criterium, we prove that piecewise Hölder continuous potentials with unique equilibrium states form an open in the 'C POT. 0' topology and that the uniqueness is still guaranteed to a potential close to a constant 'K IND.0' 'it belongs' R
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
TeseDoutFinal.pdf (450.76 Kbytes)
Publishing Date
2010-04-06
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
Centro de Informática de São Carlos
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2020. All rights reserved.