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Type: Artigo
Title: Generalized Topological Transition Matrix
Author: Franzosa
Robert; de Rezende
Ketty A.; Vieira
Ewerton R.
Abstract: This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general transition matrix satisfies the additional requirement that it covers flow-defined Conley-index isomorphisms, one proves algebraic and connection-existence properties. These general transition matrices with this covering property are referred to as generalized topological transition matrices and are used to consider connecting orbits of Morse-Smale flows without periodic orbits, as well as those in a continuation associated to a dynamical spectral sequence.
Subject: Conley Index
Connection Matrices
Transition Matrices
Morse-smale System
Sweeping Method
Spectral Sequence
Editor: Juliusz Schauder CTR Nonlinear Studies
Rights: fechado
Identifier DOI: 10.12775/TMNA.2016.046
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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