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Master's Dissertation
DOI
10.11606/D.45.2010.tde-08062010-123725
Document
Author
Full name
Pricila da Silva Barbosa
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2010
Supervisor
Committee
Pereira, Antonio Luiz (President)
Ladeira, Luiz Augusto da Costa
Pereira, Marcone Corrêa
Title in Portuguese
Bifurcação de Poincaré-Andronov-Hopf para difeomorfismos do plano
Keywords in Portuguese
Bifurcação
Curva fechada invariante
Estabilidade
Forma normal
Abstract in Portuguese
O objetivo principal deste trabalho é apresentar uma exposição detalhada do Teorema de Poincaré-Andronov-Hopf para uma família de transformações do plano. Apresentaremos também uma aplicação a um sistema dinâmico que modela a evolução do preço e excesso de demanda em um mercado constituído por uma única mercadoria.
Title in English
Bifurcation of Poincaré-Andronov-Hopf to diffeomorphism in the plane
Keywords in English
Bifurcation
Closed invariant curve
Normal form
Stability
Abstract in English
The main purpose of this work is to present a detailed exposition of the Poincaré-Andronov-Hopf Theorem for a family of transformations in the plane. We also present an application to a dynamical system modelling the evolution of the price and the excess demand in a single asset market.
 
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Publishing Date
2015-09-11
 
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