Smale flows on
Autor: | Ketty A. de Rezende, Oziride Manzoli Neto, Guido G. E. Ledesma |
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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 |
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