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|Title:||Discrete Conley Index Theory For Zero Dimensional Basic Sets|
Ketty A.; Villapouca
|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.|
Diffeomorphisms And Connection Matrix Pair
|Editor:||Amer Inst Mathematical Sciences-AIMS|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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