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  • 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 calculations of fractal dimensions and entropies for different orders q will be demonstrated with the help of HarFA software application (Harmonic and Fractal image Analyzer), that was developed by one of the authors of this contribution. This software can be used for image analysis as well a
  • 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 calculations of fractal dimensions and entropies for different orders q will be demonstrated with the help of HarFA software application (Harmonic and Fractal image Analyzer), that was developed by one of the authors of this contribution. This software can be used for image analysis as well a (en)
Title
  • Entropy of fractal systems
  • Entropy of fractal systems (en)
skos:prefLabel
  • Entropy of fractal systems
  • Entropy of fractal systems (en)
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  • RIV/00216305:26310/13:PU103311!RIV14-MPO-26310___
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  • 73008
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  • RIV/00216305:26310/13:PU103311
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  • Fractal physics, Fractal geometry, Fractal dimension, Fractal measure, Kolmogorov entropy, Rényi entropy,m Shannon entropy, Thermodynamic entropy (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [7E5077C80401]
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  • Computers and Mathematics with Applications
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  • 65
http://linked.open...iv/tvurceVysledku
  • Dzik, Petr
  • Veselý, Michal
  • Zmeškal, Oldřich
issn
  • 0898-1221
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.camwa.2013.01.017
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  • 26310
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