Sensitive dependence and dense perodic points
Dynamical Systems
2007-05-23 v1
Abstract
We show sensitive dependece on initial condition and dense periodic points imply asymptotic sensitivity, a stronger form of sensitivity, where the deviation happens not just once but infintely many times. As a consequence it follows that all Devaney chaotic systems (e.g. logistic map) have this property.
Cite
@article{arxiv.math/0302282,
title = {Sensitive dependence and dense perodic points},
author = {S. Kanmani},
journal= {arXiv preprint arXiv:math/0302282},
year = {2007}
}
Comments
4 pages; latex