Divergence-free vector fields with average and asymptotic average shadowing property

Alireza Zamani Bahabadi

Chaos, Solitons & Fractals, 2012, vol. 45, issue 11, 1358-1360

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 C1-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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:11:p:1358-1360

DOI: 10.1016/j.chaos.2012.07.008

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