We study shadowing property for a partially hyperbolic diffeomor- phism f. It is proved that if f is dynamically coherent then any pseudotrajec- tory can be shadowed by a pseudotrajectory with “jumps” along the central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
Authors
- dr hab. Sergey Kryzhevich link open in new tab ,
- Professor Sergey Tikhomirov
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.3934/dcds.2013.33.2901
- Category
- Publikacja w czasopiśmie
- Type
- artykuły w czasopismach
- Language
- angielski
- Publication year
- 2013
Source: MOSTWiedzy.pl - publication "Partial hyperbolicity and central shadowing" link open in new tab