Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$
Dynamical Systems
2015-07-08 v2
Abstract
In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on . This classification gives necessary and sufficient conditions that must be satisfied by an abstract Lyapunov graph in order for it to be associated to a Smale flow on .
Keywords
Cite
@article{arxiv.1407.6401,
title = {Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$},
author = {Ketty A. de Rezende and Guido G. E. Ledesma and Oziride M. Neto},
journal= {arXiv preprint arXiv:1407.6401},
year = {2015}
}