Multivalued fractals and hyperfractals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33138562" target="_blank" >RIV/61989592:15310/12:33138562 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218127412500095" target="_blank" >http://dx.doi.org/10.1142/S0218127412500095</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127412500095" target="_blank" >10.1142/S0218127412500095</a>
Alternative languages
Result language
angličtina
Original language name
Multivalued fractals and hyperfractals
Original language description
A new class of fractals called hyperfractals is systematically investigated. Their underlying fractals in supporting spaces are multivalued fractals developed by ourselves in our earlier papers. In the case of uniqueness, they also coincide with the supports of invariant measures of the associated Markov-Feller hyperoperators. We prove their existence by means of fixed point theorems in hyperspaces and calculate, in particular cases of generating hypermaps, their Hausdorff dimension. Two illustrative examples are supplied.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ISSN
0218-1274
e-ISSN
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Volume of the periodical
22
Issue of the periodical within the volume
1
Country of publishing house
SG - SINGAPORE
Number of pages
27
Pages from-to
1-27
UT code for WoS article
000300776100015
EID of the result in the Scopus database
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