arXiv Analytics

Sign in

arXiv:1403.7378 [math.DS]AbstractReferencesReviewsResources

An example of a vector field with the oriented shadowing property

Sergey Tikhomirov

Published 2014-03-28, updated 2014-08-09Version 2

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.

Related articles:
arXiv:1010.3308 [math.DS] (Published 2010-10-16)
Vector Fields with the Oriented Shadowing Property
arXiv:1404.3545 [math.DS] (Published 2014-04-14, updated 2014-08-11)
Oriented shadowing property and $Ω$-stability for vector fields
arXiv:2501.04294 [math.DS] (Published 2025-01-08)
A shadowable chain recurrent set with an attached hyperbolic singularity