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Atratores Não-Uniformemente Hiperbólicos

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Versão Digital - Dissertação - Andressa Souza.pdf: 965216 bytes, checksum: 9c87674ba9a02825f99d14466ddfb62f (MD5) / CAPES / Estudaremos uma fam lia de endomor smos bi-dimensionais, constru da por Marcelo
Viana em [Vi97], de atratores n~ao-uniformemente hiperb olicos com sensibilidade as
condi c~oes iniciais, em outras palavras, pontos na bacia de atra c~ao tem apenas expoentes
de Lyapunov positivos. Estes sistemas tamb em ilustram um novo mecanismo robusto de
din^amica sens vel. Apesar do car ater n~ao-uniforme da expans~ao, o atrator persiste numa
vizinhan ca do mapa inicial. / We will study a family of two-dimensional endomorphisms built by Marcelo Viana
in [Vi97], of non-uniformly hyperbolic attractors with sensitivity to initial conditions, in
other words, points in the basin of attraction have only positive Lyapunov exponents.
These systems also illustrate a new robust mechanism of sensitive dynamics. In spite of
the non-uniform expansion, the attractor persists in a neighborhood of the initial map.

Identiferoai:union.ndltd.org:IBICT/oai:192.168.11:11:ri/19488
Date January 2012
CreatorsSouza, Andrêssa Lima de
ContributorsVarandas, Paulo César Rodrigues Pinto, Varandas, Paulo César Rodrigues Pinto, Pinheiro, Vilton Jeovan Viana, Senti, Samuel Anton
PublisherInstituto de Matemática, Mestrado em Matemática, UFBA, brasil
Source SetsIBICT Brazilian ETDs
LanguagePortuguese
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis
Sourcereponame:Repositório Institucional da UFBA, instname:Universidade Federal da Bahia, instacron:UFBA
Rightsinfo:eu-repo/semantics/openAccess

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