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|Title:||Discrete Conley Index Theory For Zero Dimensional Basic Sets|
Discrete conley index theory for zero dimensional basic sets
|Author:||Rezende, Ketty A. de|
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.|
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
Diffeomorphisms And Connection Matrix Pair
Sistemas dinâmicos diferenciais
Conley, Índice de
|Editor:||American Institute of Mathematical Sciences|
|Citation:||Discrete And Continuous Dynamical Systems . Amer Inst Mathematical Sciences-aims, v. 37, p. 1359 - 1387, 2017.|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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