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Type: Artigo
Title: Discrete Conley Index Theory For Zero Dimensional Basic Sets
Author: De Rezende
Ketty A.; Villapouca
Mariana G.
Abstract: In this article the discrete Conley index theory is used to study diffeomorphisms on closed differentiable n-manifolds with zero dimensional hyperbolic chain recurrent set. A theorem is established for the computation of the discrete Conley index of these basic sets in terms of the dynamical information contained in their associated structure matrices. Also, a classification of the reduced homology Conley index of these basic sets is presented using its Jordan real form. This, in turn, is essential to obtain a characterization of a pair of connection matrices for a Morse decomposition of zero-dimensional basic sets of a diffeomorphism.
Subject: Conley Index
Dynamical Systems
Homology Theory
Diffeomorphisms And Connection Matrix Pair
Editor: Amer Inst Mathematical Sciences-AIMS
Citation: Discrete And Continuous Dynamical Systems . Amer Inst Mathematical Sciences-aims, v. 37, p. 1359 - 1387, 2017.
Rights: fechado
Identifier DOI: 10.3934/dcds.2017056
Date Issue: 2017
Appears in Collections:Unicamp - Artigos e Outros Documentos

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