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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.
Identifer | oai:union.ndltd.org:IBICT/oai:192.168.11:11:ri/19488 |
Date | January 2012 |
Creators | Souza, Andrêssa Lima de |
Contributors | Varandas, Paulo César Rodrigues Pinto, Varandas, Paulo César Rodrigues Pinto, Pinheiro, Vilton Jeovan Viana, Senti, Samuel Anton |
Publisher | Instituto de Matemática, Mestrado em Matemática, UFBA, brasil |
Source Sets | IBICT Brazilian ETDs |
Language | Portuguese |
Detected Language | English |
Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
Source | reponame:Repositório Institucional da UFBA, instname:Universidade Federal da Bahia, instacron:UFBA |
Rights | info:eu-repo/semantics/openAccess |
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