Functional envelope of a non-autonomous discrete system

Ali Barzanouni. "Functional envelope of a non-autonomous discrete system." Nonautonomous Dynamical Systems 4.1 (2017): 98-107. <http://eudml.org/doc/288437>.

@article{AliBarzanouni2017,
abstract = {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.},
author = {Ali Barzanouni},
journal = {Nonautonomous Dynamical Systems},
keywords = {non-autonomous discrete system; functional envelope; recurrent point},
language = {eng},
number = {1},
pages = {98-107},
title = {Functional envelope of a non-autonomous discrete system},
url = {http://eudml.org/doc/288437},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Ali Barzanouni
TI - Functional envelope of a non-autonomous discrete system
JO - Nonautonomous Dynamical Systems
PY - 2017
VL - 4
IS - 1
SP - 98
EP - 107
AB - 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.
LA - eng
KW - non-autonomous discrete system; functional envelope; recurrent point
UR - http://eudml.org/doc/288437
ER -