Author:
DE REZENDE KETTY A.,LEDESMA GUIDO G. E.,MANZOLI NETO OZIRIDE
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$\mathbb{S}^{2}\times \mathbb{S}^{1}$.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics