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Statements

Subject Item
n2:RIV%2F00216305%3A26310%2F12%3APU99789%21RIV13-MPO-26310___
rdf:type
skos:Concept n5:Vysledek
dcterms:description
The Kolmogorov entropy is an important measure which describes the degree of chaoticity of systems. It gives the average rate of information loss about a position of the phase point on the attractor. Numerically, the Kolmogorov entropy can be estimated as the Rényi entropy. A special case of Rényi entropy is the information theory of Shannon entropy. The product of Shannon entropy and Boltzmann constant is the thermodynamic entropy. Fractal structures are characterized by their fractal dimension. There exists an infinite family of fractal dimensions. A generalized fractal dimension can be defined in an E-dimensional space. The Rényi entropy and generalized fractal dimension are connected by known relation. The Kolmogorov entropy is an important measure which describes the degree of chaoticity of systems. It gives the average rate of information loss about a position of the phase point on the attractor. Numerically, the Kolmogorov entropy can be estimated as the Rényi entropy. A special case of Rényi entropy is the information theory of Shannon entropy. The product of Shannon entropy and Boltzmann constant is the thermodynamic entropy. Fractal structures are characterized by their fractal dimension. There exists an infinite family of fractal dimensions. A generalized fractal dimension can be defined in an E-dimensional space. The Rényi entropy and generalized fractal dimension are connected by known relation.
dcterms:title
Entropy of fractal systems Entropy of fractal systems
skos:prefLabel
Entropy of fractal systems Entropy of fractal systems
skos:notation
RIV/00216305:26310/12:PU99789!RIV13-MPO-26310___
n5:predkladatel
n6:orjk%3A26310
n3:aktivita
n14:P
n3:aktivity
P(FR-TI1/144)
n3:cisloPeriodika
1
n3:dodaniDat
n13:2013
n3:domaciTvurceVysledku
n11:8842205
n3:druhVysledku
n15:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
134501
n3:idVysledku
RIV/00216305:26310/12:PU99789
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Fractal physics, Fractal geometry, Fractal dimension, Fractal measure, Kolmogorov entropy, Rényi entropy, Shannon entropy, Thermodynamic entropy
n3:klicoveSlovo
n4:Kolmogorov%20entropy n4:Fractal%20dimension n4:Fractal%20physics n4:Shannon%20entropy n4:R%C3%A9nyi%20entropy n4:Fractal%20measure n4:Fractal%20geometry n4:Thermodynamic%20entropy
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[8BDBE1E4B7B1]
n3:nazevZdroje
Advances in Intelligent Systems and Computing
n3:obor
n19:CF
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n16:FR-TI1%2F144
n3:rokUplatneniVysledku
n13:2012
n3:svazekPeriodika
192
n3:tvurceVysledku
Zmeškal, Oldřich
s:issn
2194-5357
s:numberOfPages
2
n10:organizacniJednotka
26310