An example of a vector field with the oriented shadowing property

Sergey Tikhomirov

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Submission date: 28. Mar. 2014
Pages: 15
published in: Journal of dynamical and control systems, 21 (2015) 4, p. 643-654 
DOI number (of the published article): 10.1007/s10883-015-9272-9
Bibtex
MSC-Numbers: 37C50, 37C10
Keywords and phrases: Shadowing, Vector field, reparametrization, structural stability
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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.