Lyapunov graphs and flows on surfaces-Reference-Cited by-同舟云学术

Lyapunov graphs and flows on surfaces

Published:1993 Issue:2 Volume:340 Page:767-784
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

de Rezende K. A.,Franzosa R. D.

Abstract

In this paper, a characterization of Lyapunov graphs associated to smooth flows on surfaces is presented. We first obtain necessary and sufficient conditions for a Lyapunov graph to be associated to Morse-Smale flows and then generalize them to smooth flows. The methods employed in the proofs are of interest in their own right for they introduce the use of the Conley index in this context. Moreover, an algorithmic geometric construction of flows on surfaces is described.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1993-340-02/S0002-9947-1993-1127155-9/S0002-9947-1993-1127155-9.pdf

Reference10 articles.

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5. GRAPH THEORY

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