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Comparison of the Shannon information, Tsallis information, and number of system states in diagnosing regular and chaotic motions

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Abstract

The properties of the Shannon and Tsallis informations in diagnosing laminar and turbulent motions are compared by solving the set of Lorentz equations. A method for analyzing the mode of dynamic behavior by constructing the function of number of states is proposed.

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References

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Authors and Affiliations

  1. Institute of Mechanics and Mechanical Engineering, Kazan Scientific Center, Russian Academy of Sciences, Kazan, 420011, Tatarstan, Russia

    A. L. Tukmakov

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  1. A. L. Tukmakov
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 7, 2002, pp. 137–140.

Original Russian Text Copyright © 2002 by Tukmakov.

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Tukmakov, A.L. Comparison of the Shannon information, Tsallis information, and number of system states in diagnosing regular and chaotic motions. Tech. Phys. 47, 929–931 (2002). https://doi.org/10.1134/1.1495062

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  • DOI: https://doi.org/10.1134/1.1495062

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