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Smale flows on $\mathbb{S}^{2}\times \mathbb{S}^{1}$
Published online by Cambridge University Press: 13 April 2015
Abstract
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 $\mathbb{S}^{2}\times \mathbb{S}^{1}$.
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- © Cambridge University Press, 2015