On a Morse conjecture for analytic flows on compact surfaces

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:247

Article

Marzougui, Habib²  Soler Lopez, Gabriel¹ 

[1] Univ Politecn Cartagena, Dept Matemat Aplicada, Cartagena 30203, Spain

[2] Fac Sci Bizerte, Dept Math, Zarzouna 7021, Tunisia

关键词: Analytic flow;    Orbit;    Topological transitivity;    Metrical transitivity;    Morse conjecture;    omega-limit set;   

DOI  :  10.1016/j.jde.2009.08.023

来源: Elsevier

【 摘 要 】

The aim of this paper is to prove a Morse conjecture; in particular it is shown that a topologically transitive analytic flow on a compact surface is metrically transitive. We also build smooth topologically transitive flows on surfaces which are not metrically transitive. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free