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MiS Preprint
43/2014

An example of a vector field with the oriented shadowing property

Sergey Tikhomirov

Abstract

We consider shadowing properties for vector fields corresponding to different type of reparametrisations. We give an example of a vector field which has the oriented shadowing properties, but does not have the standard shadowing property.

Received:
Mar 28, 2014
Published:
Apr 4, 2014
MSC Codes:
37C50, 37C10
Keywords:
Shadowing, Vector field, reparametrization, structural stability

Related publications

inJournal
2015 Repository Open Access
Sergey Tikhomirov

An example of a vector field with the oriented shadowing property

In: Journal of dynamical and control systems, 21 (2015) 4, pp. 643-654