Shadowing near nonhyperbolic fixed points
Dynamical Systems
2013-11-18 v2
Abstract
We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.
Cite
@article{arxiv.1310.0496,
title = {Shadowing near nonhyperbolic fixed points},
author = {Alexey A. Petrov and Sergei Yu. Pilyugin},
journal= {arXiv preprint arXiv:1310.0496},
year = {2013}
}
Comments
16 pages