Transitive sensitive subsystems for interval maps
Dynamical Systems
2019-01-07 v1
Abstract
We state that for continuous interval maps the existence of a non empty closed invariant subset which is transitive and sensitive to initial conditions is implied by positive topological entropy and implies chaos in the sense of Li-Yorke, and we exhibit examples showing that these three notions are distinct.
Cite
@article{arxiv.1901.01067,
title = {Transitive sensitive subsystems for interval maps},
author = {Sylvie Ruette},
journal= {arXiv preprint arXiv:1901.01067},
year = {2019}
}
Comments
Published in 2005