Exploring F-Sensitivity for Non-Autonomous Systems
Abstract
We study some stronger forms of sensitivity, namely, F-sensitivity and weakly F-sensitivity for non-autonomous discrete dynamical systems. We obtain a condition under which these two forms of sensitivity are equivalent. We also justify the difference between F-sensitivity and some other stronger forms of sensitivity through examples. We explore the relation between the F-sensitivity of the non-autonomous system (X, f1;infinity) and autonomous system (X, f), where fn is a sequence of continuous functions converging uniformly to f. We also study the F-sensitivity of a non-autonomous system (X, f1;infinity), generated by a finite family of maps F = f1, f2, : : : , fk and give an example showing that such non-autonomous systems can be F-sensitive, even when none of the maps in the family F is F-sensitive.
Cite
@article{arxiv.1806.00693,
title = {Exploring F-Sensitivity for Non-Autonomous Systems},
author = {Radhika Vasisht and Ruchi Das},
journal= {arXiv preprint arXiv:1806.00693},
year = {2019}
}