Functional envelope of a non-autonomous discrete system

• Autorzy: Ali Barzanouni
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

non-autonomous discrete system; functional envelope; recurrent point

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B20: Notions of recurrence

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 98-107

Daty

wydano

2017-11-27

otrzymano

2017-08-18

zaakceptowano

2017-10-08

online

2017-11-14

Twórcy

autor

Ali Barzanouni

• ,

Identyfikatory

DOI

10.1515/msds-2017-0009