Nonsmooth mappings with Lipschitz shadowing
Dynamical Systems
2015-10-13 v1
Abstract
We study conditions under which a piecewise affine mapping has the Lipschitz shadowing property. As an application, we show that there exists a homeomorphism with a nonisolated fixed point having the Lipschitz shadowing property.
Cite
@article{arxiv.1510.03074,
title = {Nonsmooth mappings with Lipschitz shadowing},
author = {A. Petrov and S. Pilyugin},
journal= {arXiv preprint arXiv:1510.03074},
year = {2015}
}
Comments
13 pages