Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems
Dynamical Systems
2018-01-03 v1
Abstract
We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent, more precisely, neither of the two possible implications is true.
Keywords
Cite
@article{arxiv.1801.00139,
title = {Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems},
author = {Jakub Sotola},
journal= {arXiv preprint arXiv:1801.00139},
year = {2018}
}
Comments
10 pages, 4 figures