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Kolmogorov-Sinai Entropy and Lyapunov Exponents Related to Information and Transport Processes

Milena Kheilova, Marian Strunc and Frantisek Solc

p. 306-319

    Abstract

    This paper deals with the connection between the Kolmogorov-Sinai entropy, and Lyapunov exponents describing the microscopic dynamics of particle systems, and the quantities characterizing the macroscopic properties of the systems. The problem of creation and destruction of information and the connection of these processes with Kolmogorov-Sinai entropy are analysed. The Lyapunov exponents which are also the measure of chaotic behaviour are related to the average loss or gain of information.

    Index

    Keywords

    Kolmogorov-Sinai entropy, Lyapunov exponents, information entropy, transport coefficients, entropy production

    Text

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    References

    Bibliographical reference

    Milena Kheilova, Marian Strunc and Frantisek Solc, « Kolmogorov-Sinai Entropy and Lyapunov Exponents Related to Information and Transport Processes », CASYS, 11 | 2002, 306-319.

    Electronic reference

    Milena Kheilova, Marian Strunc and Frantisek Solc, « Kolmogorov-Sinai Entropy and Lyapunov Exponents Related to Information and Transport Processes », CASYS [Online], 11 | 2002, Online since 19 July 2024, connection on 10 January 2025. URL : http://popups.lib.uliege.be/1373-5411/index.php?id=2027

    Authors

    Milena Kheilova

    Department of Physics, Faculty of Electrical Engineering and Computer Science, Technical University Brno, Technicka 8, 616 00 Brno, Czech Republic

    Marian Strunc

    Department of Physics, Faculty of Electrical Engineering and Computer Science, Technical University Brno, Technicka 8, 616 00 Brno, Czech Republic

    Frantisek Solc

    Department of Control, Faculty of Electrical Engineering and Computer Science, Technical University Brno, Bozetechova 2, 612 66 Brno, Czech Republic

    Copyright

    CC BY-SA 4.0 Deed