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
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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
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
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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
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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
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EID of the result in the Scopus database
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