Some chaotic and mixing properties of Zadeh's extension

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F09%3AA1000WRC" target="_blank" >RIV/61988987:17610/09:A1000WRC - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Some chaotic and mixing properties of Zadeh's extension

Original language description

Let $X$ be a compact metric space, let $varphi$ be a continuous self-map on $X$, and let $mathbb{F}(X)$ denote the space of fuzzy sets on $X$ equipped with the levelwise topology. In this paper we study relations between various dynamical properties ofa given (crisp) dynamical system $(X,varphi)$ and its Zadeh's extension $Phi$ on $mathbb{F} (X)$. Among other things we study various (weak, strong, mild etc.) mixing properties and also several kinds of chaotic behaviors (Li-Yorke chaos, $omega$-chaos, distributional chaos, topological chaos etc.).

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

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

Article name in the collection

Proceedings of IFSA World Congress/EUSFLAT Conference

ISBN

978-989-95079-6-8

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

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Publisher name

Universidade Técnica de Lisboa

Place of publication

Lisabon, Portugalsko

Event location

Lisabon, Portugalsko

Event date

Jan 1, 2009

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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