Publications
2014
Issue 48

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

48/2014

Oriented shadowing property and $Ω$ -stability for vector fields

Shaobo Gan, Ming Li and Sergey Tikhomirov

Abstract

We call that a vector field has the oriented shadowing property if for any $ϵ > 0$ there is $d > 0$ such that each $d$ -pseudo orbit is $ϵ$ -oriented shadowed by some real orbit. In this paper, we show that the $C^{1}$ -interior of the set of vector fields with the oriented shadowing property is contained in the set of vector fields with the $Ω$ -stability.

Contact the author per mail Download full preprint 155 KB

Received:: 14.04.14

Published:: 22.04.14

MSC Codes:: 37C50

Keywords:: oriented shadowing, $\Omega$-stability, star vector fields

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inJournal

2016 Repository Open Access

Shaobo Gan, Ming Li and Sergey Tikhomirov

Oriented shadowing property and $Ω$ -stability for vector fields

In: Journal of dynamics and differential equations, 28 (2016) 1, pp. 225-237

BibTex DOI: 10.1007/s10884-014-9399-5 ArXiv: 1404.3545

MiS Preprint Repository

Oriented shadowing property and Ω-stability for vector fields

Abstract

Related publications

Oriented shadowing property and Ω-stability for vector fields

Oriented shadowing property and $Ω$ -stability for vector fields

Oriented shadowing property and $Ω$ -stability for vector fields