Stability of Random Processes with the 1/f α Spectrum


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Abstract

Extreme fluctuations have been modeled based on point nonpotential and potential systems of stochastic equations, in which white noise induces random processes with a power-law frequency dependence of the power spectra. The distribution of extreme fluctuations corresponds to the maximum of statistical entropy, which indicates their stability. The stability of fluctuation processes with 1/f  α power spectra has been analyzed based on the principle of maximum information entropy.

About the authors

V. P. Koverda

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences

Author for correspondence.
Email: koverda@itp.uran.ru
Russian Federation, Yekaterinburg, 620016

V. N. Skokov

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences

Author for correspondence.
Email: vnskokov@itp.uran.ru
Russian Federation, Yekaterinburg, 620016

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