Asymptotic measure expansive diffeomorphisms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Fakhari, Abbas^1,2  Morales, C. A.³  Tajbakhsh, Khosro⁴ 

[1] Shahid Beheshti Univ, Dept Math, Tehran 19839, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil

[4] Tarbiat Modares Univ, Fac Math Sci, Dept Math, Tehran, Iran

关键词: Expansive;    Measure expansive;    Asymptotic measure expansive;   

DOI  :  10.1016/j.jmaa.2015.11.042

来源: Elsevier

【 摘 要 】

In this paper the notion of asymptotic measure expansiveness is introduced and its relationship with dominated splitting is considered. It is proved that if a diffeomorphism admits a co-dimension one dominated splitting then it is asymptotic measure expansive. Also, a diffeomorphism with a homoclinic tangency can be perturbed to a non-asymptotic measure expansive diffeomorphism. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free