Lyapunov graphs of nonsingular Smale flows on 𝑆¹×𝑆²-Reference-Cited by-同舟云学术

Lyapunov graphs of nonsingular Smale flows on 𝑆¹×𝑆²

Published:2012-08-22 Issue:2 Volume:365 Page:767-783
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Yu Bin

Abstract

In this paper, following J. Franks’ work on Lyapunov graphs of nonsingular Smale flows on S 3 S^3 , we study Lyapunov graphs of nonsingular Smale flows on S 1 × S 2 S^1 \times S^2 . More precisely, we determine necessary and sufficient conditions on an abstract Lyapunov graph to be associated with a nonsingular Smale flow on S 1 × S 2 S^1 \times S^2 . We also study the singular type vertices in Lyapunov graphs of nonsingular Smale flows on 3-manifolds.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2013-365-02/S0002-9947-2012-05636-4/S0002-9947-2012-05636-4.pdf

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