Partial hyperbolicity and central shadowing
arXiv:1112.4272
Abstract
We study shadowing property for a partially hyperbolic diffeomorphism . It is proved that if is dynamically coherent then any pseudotrajectory can be shadowed by a pseudotrajectory with "jumps" along the central foliation. The proof is based on the Tikhonov-Shauder fixed point theorem.
11 pages, 3 figures