Discrete Conley Index for Zero-dimensional Basic Sets

2015/04/15 by Ketty A. de Rezende, de Rezende, Ketty A., Mariana G. Villapouca +1
Chemistry · Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1504.03981

openalex publication_date 2015/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A theorem is established where the computation of the discrete Conley index for zero dimensional basic sets is given with respect to the dynamical information contained in the associated structure matrices. A classification of the reduced homology Conley index of a zero dimensional basic set in terms of its Jordan real form is presented.

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