Title : ( Divergence-free vector fields with average and asymptotic average shadowing property )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
Let X be a divergence-free vector field on a three-dimensional compact connected Riemannian manifold. In this paper, we show that if X is in the C^1-interior of the set of divergence-free vector fields which satisfy the average shadowing property then X is Anosov. We also obtain similar result for asymptotic average shadowing property.
Keywords
, divergence-free vector field, average shadowing property
@article{paperid:1029800,
author = {Zamani Bahabadi, Ali Reza},
title = {Divergence-free vector fields with average and asymptotic average shadowing property},
journal = {Chaos, Solitons and Fractals},
year = {2012},
volume = {45},
number = {11},
month = {September},
issn = {0960-0779},
pages = {1358--1360},
numpages = {2},
keywords = {divergence-free vector field; average shadowing property},
}
%0 Journal Article
%T Divergence-free vector fields with average and asymptotic average shadowing property
%A Zamani Bahabadi, Ali Reza
%J Chaos, Solitons and Fractals
%@ 0960-0779
%D 2012
