Publication detail

Entropy of fractal systems

ZMEŠKAL, O.

Original Title

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

Fractal physics, Fractal geometry, Fractal dimension, Fractal measure, Kolmogorov entropy, Rényi entropy, Shannon entropy, Thermodynamic entropy

Authors

ZMEŠKAL, O.

RIV year

2012

Released

3. 9. 2012

Publisher

Springer

Location

New York, USA

ISBN

2194-5357

Periodical

Advances in Intelligent Systems and Computing

Year of study

192

Number

State

Swiss Confederation

Pages from

Pages to

Pages count

BibTex

@article{BUT93924,
  author="Oldřich {Zmeškal}",
  title="Entropy of fractal systems",
  journal="Advances in Intelligent Systems and Computing",
  year="2012",
  volume="192",
  number="1",
  pages="25--26",
  issn="2194-5357"
}