Let (X, F = {fn}n =0∞) be a non-autonomous discrete system by a compact metric space X and continuous maps fn : X → X, n = 0, 1, ....We introduce functional envelope (S(X), G = {Gn}n =0∞), of (X, F = {fn}n =0∞), where S(X) is the space of all continuous self maps of X and the map Gn : S(X) → S(X) is defined by Gn(ϕ) = Fn ∘ ϕ, Fn = fn ∘ fn-1 ∘ . . . ∘ f1 ∘ f0. The paper mainly deals with the connection between the properties of a system and the properties of its functional envelope.
@article{bwmeta1.element.doi-10_1515_msds-2017-0009,
author = {Ali Barzanouni},
title = {Functional envelope of a non-autonomous discrete system},
journal = {Nonautonomous Dynamical Systems},
volume = {4},
year = {2017},
pages = {98-107},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_msds-2017-0009}
}
Ali Barzanouni. Functional envelope of a non-autonomous discrete system. Nonautonomous Dynamical Systems, Tome 4 (2017) pp. 98-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_msds-2017-0009/