| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614559 | Journal of Mathematical Analysis and Applications | 2016 | 6 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Abbas Fakhari, C.A. Morales, Khosro Tajbakhsh,