Asymptotic measure expansive diffeomorphisms

作者：Fakhari Abbas; Morales C A; Tajbakhsh Khosro^*

来源：Journal of Mathematical Analysis and Applications, 2016, 435(2): 1682-1687.

DOI：10.1016/j.jmaa.2015.11.042

• Expansive
• Measure expansive
• Asymptotic measure expansive

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.

• 出版日期2016-3-15