Year: 2019
Type: article
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,∞) 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,∞), 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.
Authors: Radhika Vasisht, Ruchi Das
Institution: University of Delhi
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2805274779