An example of a vector field with the oriented shadowing property

2014/03/28 by Sergey Tikhomirov, Tikhomirov, Sergey
Mathematics · #37C10 #37C50 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37C10 #msc:37C50

paper · pdf · doi:10.48550/arxiv.1403.7378

13 pages

arxiv created 2014/08/09 · arxiv updated 2014/08/12

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.

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