About: Extreme chaos and transitivity

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Extreme chaos and transitivity Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In the eighties, Misiurewicz, Bruckner and Hu provided examples of functions chaotic in the sense of Li and Yorke almost everywhere. In this paper we show that similar results are true for distributional chaos, introduced in [B. Schweizer and J. Smital, Trans. Amer. Math. Soc. 334 (1994), 737--754]. In fact, we show that any bitransitive continuous map of the interval is conjugate to a map uniformly distributionally chaotic almost everywhere. Using a result of A. M. Blokh we get as a consequence that for any map $f$ with positive topological entropy there is a $k$ such that $f^k$ is semiconjugate to a continuous map uniformly distributionally chaotic almost everywhere, and consequently, chaotic in the sense of Li and Yorke almost everywhere. In the eighties, Misiurewicz, Bruckner and Hu provided examples of functions chaotic in the sense of Li and Yorke almost everywhere. In this paper we show that similar results are true for distributional chaos, introduced in [B. Schweizer and J. Smital, Trans. Amer. Math. Soc. 334 (1994), 737--754]. In fact, we show that any bitransitive continuous map of the interval is conjugate to a map uniformly distributionally chaotic almost everywhere. Using a result of A. M. Blokh we get as a consequence that for any map $f$ with positive topological entropy there is a $k$ such that $f^k$ is semiconjugate to a continuous map uniformly distributionally chaotic almost everywhere, and consequently, chaotic in the sense of Li and Yorke almost everywhere. (en)
Title	Extreme chaos and transitivity Extreme chaos and transitivity (en)
skos:prefLabel	Extreme chaos and transitivity Extreme chaos and transitivity (en)
skos:notation	RIV/47813059:19610/03:00000113!RIV/2004/MSM/196104/N
http://linked.open.../vavai/riv/strany	1695;170
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/00/0859), Z(MSM 192400002)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Štefánková, Marta
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	606976
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/03:00000113
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Distributional chaos; Li Yorke chaos; bitransitive map; topological conjug (en)
http://linked.open.../riv/klicoveSlovo	Distributional chaos Li Yorke chaos topological conjug bitransitive map
http://linked.open...odStatuVydavatele	SG - Singapurská republika
http://linked.open...ontrolniKodProRIV	[D75D4F114DE3]
http://linked.open...i/riv/nazevZdroje	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Dynamical systems
http://linked.open...UplatneniVysledku	2003
http://linked.open...v/svazekPeriodika	13
http://linked.open...iv/tvurceVysledku	Štefánková (Babilonová), Marta
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20192400002
issn	0218-1274
number of pages	6 (xsd:int)
http://localhost/t...ganizacniJednotka	19610

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 48 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software