Smale flows on

Autor: Ketty A. de Rezende, Oziride Manzoli Neto, Guido G. E. Ledesma
Rok vydání: 2015
Předmět:
Zdroj: Ergodic Theory and Dynamical Systems. 35:1546-1581
ISSN: 1469-4417
0143-3857
DOI: 10.1017/etds.2015.2
Popis: In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on$\mathbb{S}^{2}\times \mathbb{S}^{1}$. 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$\mathbb{S}^{2}\times \mathbb{S}^{1}$.
Databáze: OpenAIRE