Discrete Conley Index for Zero-dimensional Basic Sets
Dynamical Systems
2015-04-16 v1
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.
Keywords
Cite
@article{arxiv.1504.03981,
title = {Discrete Conley Index for Zero-dimensional Basic Sets},
author = {Ketty A. de Rezende and Mariana G. Villapouca},
journal= {arXiv preprint arXiv:1504.03981},
year = {2015}
}