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  • 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.
  • 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. (en)
Title
  • Multivalued fractals and hyperfractals
  • Multivalued fractals and hyperfractals (en)
skos:prefLabel
  • Multivalued fractals and hyperfractals
  • Multivalued fractals and hyperfractals (en)
skos:notation
  • RIV/61989592:15310/12:33138562!RIV13-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...dnocenehoVysledku
  • 152483
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/12:33138562
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • correlation dimension; Hausdorff dimension; invariant measure; IMS; multivalued fractal; hyperattractor; hyperIFS; hyperfractal (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SG - Singapurská republika
http://linked.open...ontrolniKodProRIV
  • [2DC5BA6AD59C]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 22
http://linked.open...iv/tvurceVysledku
  • Andres, Jan
  • Rypka, Miroslav
http://linked.open...ain/vavai/riv/wos
  • 000300776100015
http://linked.open...n/vavai/riv/zamer
issn
  • 0218-1274
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S0218127412500095
http://localhost/t...ganizacniJednotka
  • 15310
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