Smale flows on S-2 x S-1

Author(s)

de Rezende, Ketty A. ; Ledesma, Guido G. E. ; Manzoli Neto, Oziride

• Document type: Journal article
• Source: Ergodic Theory and Dynamical Systems; v. 35, p. 36-pg., 2015-08-01.

Abstract

In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on S-2 x 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 S-2 x S-1. (AU)

• FAPESP's process: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
• Grantee: Marco Antônio Teixeira
• Support Opportunities: Research Projects - Thematic Grants