# Functional envelope of a non-autonomous discrete system

Nonautonomous Dynamical Systems (2017)

- Volume: 4, Issue: 1, page 98-107
- ISSN: 2353-0626

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topAli 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 -

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