Scrambled and distributionally scrambled n-tuples

Result code in IS VaVaI

RIV/47813059:19610/14:#0000449 - isvavai.cz

Result on the web

http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.899358#.VSuQEjcWH0c

DOI - Digital Object Identifier

10.1080/10236198.2014.899358

Result language

angličtina

Original language name

Scrambled and distributionally scrambled n-tuples

Original language description

This article investigates the relation between the distributional chaos and the existence of a scrambled triple. We show that for a continuous mapping f acting on a compact metric space (X, d), the possession of an infinite extremal distributionally scrambled set is not sufficient for the existence of a scrambled triple. We also construct an invariant Mycielski set with an uncountable extremal distributionally scrambled set without any scrambled triple.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2014

Confidentiality

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

Name of the periodical

Journal of Difference Equations and Applications

ISSN

1023-6198

e-ISSN

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Volume of the periodical

20

Issue of the periodical within the volume

8

Country of publishing house

GB - UNITED KINGDOM

Number of pages

9

Pages from-to

1169-1177

UT code for WoS article

000337359600003

EID of the result in the Scopus database

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