Partial hyperbolicity and central shadowing
Dynamical Systems
2012-02-14 v2
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.
Cite
@article{arxiv.1112.4272,
title = {Partial hyperbolicity and central shadowing},
author = {Sergey Kryzhevich and Sergey Tikhomirov},
journal= {arXiv preprint arXiv:1112.4272},
year = {2012}
}
Comments
11 pages, 3 figures