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Entropy of fractal systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26310%2F13%3APU103311" target="_blank" >RIV/00216305:26310/13:PU103311 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.camwa.2013.01.017" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2013.01.017</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.camwa.2013.01.017" target="_blank" >10.1016/j.camwa.2013.01.017</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Entropy of fractal systems

  • Original language 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 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 as for educative purposes.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    CF - Physical chemistry and theoretical chemistry

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/FR-TI1%2F144" target="_blank" >FR-TI1/144: *Multicomponent electronic systems based on organic substances</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Computers and Mathematics with Applications

  • ISSN

    0898-1221

  • e-ISSN

  • Volume of the periodical

    65

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    12

  • Pages from-to

    136-146

  • UT code for WoS article

  • EID of the result in the Scopus database