Relations between distributional, Li?Yorke and ? chaos
Result description
The forcing relations between notions of distributional, Li?Yorke and ? chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the results for general compact metric spaces by the construction of a selfmap on a compact perfect set which is ? chaotic, not distributionally chaotic and has zero topological entropy.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Relations between distributional, Li?Yorke and ? chaos
Original language description
The forcing relations between notions of distributional, Li?Yorke and ? chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the results for general compact metric spaces by the construction of a selfmap on a compact perfect set which is ? chaotic, not distributionally chaotic and has zero topological entropy.
Czech name
Vztahy mezi distribučním, Li Yorkeovým a omega chaosem
Czech description
Vztahy mezi distribučním, Li Yorkeovým a omega chaosem byly studovány mnoha autory. V této práci shrnujeme všechny dosavadní známé souvislosti mezi distribučním, Li Yorkeovým a omega chaosem. Tyto výsledky doplňujeme pro obecné kompaktní metrické prostory konstrukcí zobrazení na kompaktní perfektní množině, které je omega chaotické, není distribučně chaotické a má nulovou topologickou entropii.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Chaos, Solitons and Fractals
ISSN
0960-0779
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
5
Pages from-to
788-792
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2006