Skip to main content
Log in

Estimation of the Entropy of Dynamic System

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

A method for determining the measure of random nature of a dynamic system was presented. The system is related with an oriented graph (symbolic image) that can be regarded as its discrete approximation. A special sequence of symbolic images enabling one to judge the degree of randomness (entropy) of the dynamic system was constructed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Alekseev, V.M., Symbolic Dynamics, Eleventh Math.Workshop, Kiev, 1976.

  2. Methods of Symbolic Dynamics, Matematika, 1979, no. 13.

  3. Douglas, L. and Marcus, B., An Introduction to Symbolic Dynamics and Coding, New York: Cambridge Univ. Press, 1995.

    Google Scholar 

  4. Froyland, G., Junge, O., and Ochs, G., Rigorous Computation of Topological Entropy with Respect to Finite Partition, Web-article.

  5. Gene, H., Charles, F., and Loan, V., Matrix Computations, Baltimore: J. Hopkins Univ. Press, 1996.

    Google Scholar 

  6. Collet, P., Crutchfield, J., and Eckmann, J., Computing the Topological Entropy of Maps, Commun.Math.Phys., 1983, vol. 88, pp. 257-262.

    Google Scholar 

  7. Block, L. and Keesling, J., Computing the Topological Entropy of Maps of the Interval with Three Monotone Pieces, J.Statist.Phys., 1992, vol. 66, pp. 755-774.

    Google Scholar 

  8. Osipenko, G., Construction of Attractors and Filtrations, in Conley Index Theory, 1999, vol. 47, pp. 173-197.

    Google Scholar 

  9. Shub, M., Dynamical Systems, Filtrations and Entropy, Bull.Am.Math.Soc., 1974, vol. 80, no. 1, pp. 27-41.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mizin, D.A. Estimation of the Entropy of Dynamic System. Automation and Remote Control 63, 1860–1865 (2002). https://doi.org/10.1023/A:1020971802526

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020971802526

Keywords

Navigation