Entropy of fractal systems

DOI10.1016/J.CAMWA.2013.01.017zbMath1371.94582OpenAlexW2141963433MaRDI QIDQ305487

Oldrich Zmeskal, Petr Dzik, Michal Vesely

Publication date: 30 August 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.01.017

zbMATH Keywords

fractal dimensionfractal measureShannon entropyKolmogorov entropyfractal geometrythermodynamic entropyfractal physicsRényi entropy

Mathematics Subject Classification ID

Fractals (28A80) Measures of information, entropy (94A17) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Hausdorff and packing measures (28A78)

Related Items (10)

Abstract Fractals ⋮ A novel pattern in a class of fractal models with the non-perturbative approach ⋮ Higher order information volume of mass function ⋮ Generation of fractals as Duffing equation orbits ⋮ Entropy in multifractal non equilibrium structures of dielectric breakdown ⋮ Abstract similarity, fractals and chaos ⋮ STATISTICAL PROPERTIES OF LINEAR FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATA SETS ⋮ Routes to fractality and entropy in Liesegang systems ⋮ Equivalent relation between normalized spatial entropy and fractal dimension ⋮ Statistics of Fractal Systems

Cites Work

• A Mathematical Theory of Communication
• Classifying entropy measures
• Fractal-Cantorian geometry, Hausdorff dimension and the fundamental laws of physics.
• Field and potential of fractal-Cantorian structures and El Naschie's \(\mathcal E^{(\infty)}\) theory
• MEASURES OF UNCERTAINTY AND INFORMATION BASED ON POSSIBILITY DISTRIBUTIONS
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