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Entropy analysis of dynamic variables

Yu. P. Machehin, Yu. S. Kurskoy
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The measurement model and the results analysis model for dynamic variables of nonlinear dynamical systems are developed in this article. It’s represented the approach for analysis of the measurement results that based on key elements of the probabilistic information theory. Shannon entropy is considered as the value that describ the measurement uncertainty and the dynamic of nonlinear dynamical systems. The formulas for connection between an measurement uncertainty and Shannon entropy and for Shannon entropy for dynamic variables of nonlinear dynamical systems are proposed.
Keywords: dynamic variable, nonlinear dynamic system, measurement uncertainty, probabilistic information theory, Shannon entropy