On Devaney chaotic induced dynamical systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F11%3AA1200WRA" target="_blank" >RIV/61988987:17610/11:A1200WRA - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On Devaney chaotic induced dynamical systems

Popis výsledku v původním jazyce

It is well known that any given discrete dynamical system uniquely induces its fuzzified counterpart, i.e. a discrete dynamical system on the space of fuzzy sets. In this paper we study relations between dynamical properties of the original and fuzzifieddynamical system. Especially, we study conditions used in the definition of Devaney chaotic maps, i.e. periodic density and transitivity. Among other things we show that dynamical behavior of the set-valued and fuzzy extensions of the original system mutually inherits some global characteristics and that the space of fuzzy sets admits a transitive fuzzification. This paper contributes to the solution of the problem that was partially solved in [H. Rom'{a}n-Flores, Y. Chalco-Cano, {em Some chaotic properties of Zadeh's extension/}, Chaos, Solitons & Fractals, Volume 35, Issue 3, February 2008, Pages 452-459].

Název v anglickém jazyce

On Devaney chaotic induced dynamical systems

Popis výsledku anglicky

It is well known that any given discrete dynamical system uniquely induces its fuzzified counterpart, i.e. a discrete dynamical system on the space of fuzzy sets. In this paper we study relations between dynamical properties of the original and fuzzifieddynamical system. Especially, we study conditions used in the definition of Devaney chaotic maps, i.e. periodic density and transitivity. Among other things we show that dynamical behavior of the set-valued and fuzzy extensions of the original system mutually inherits some global characteristics and that the space of fuzzy sets admits a transitive fuzzification. This paper contributes to the solution of the problem that was partially solved in [H. Rom'{a}n-Flores, Y. Chalco-Cano, {em Some chaotic properties of Zadeh's extension/}, Chaos, Solitons & Fractals, Volume 35, Issue 3, February 2008, Pages 452-459].

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

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Svazek periodika

177

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

34-44

Kód UT WoS článku

000292942500003

EID výsledku v databázi Scopus

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