This article is cited in 1 paper

Theoretical and Mathematical Physics

Stability of a random process with a $1/f$ spectrum under deterministic action

V. P. Koverda, V. N. Skokov

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

Abstract: The stability of the resultant process, which appears upon the interaction of a random process having a $1/f$ spectrum with a deterministic action, is analyzed using the entropy maximum principle. Under the action of a harmonic force, stable resultant processes are divided into two branches depending on the amplitude of the harmonic force. Due to an exponential relaxation upon an increase in the damping coefficient, the resultant process acquires the Lorentz spectrum without high-energy low-frequency spikes.

Received: 14.02.2012
Accepted: 26.06.2012

 English version: Technical Physics, 2013, 58:4, 467–470

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