Maximum entropy and stability of a random process with a 1/f power spectrum under deterministic action
AbstractThe principle of maximum entropy has been used to analyze the stability of the resulting process observed during the interaction of a random process with a 1/f spectrum and a deterministic action in lumped and distributed systems of nonlinear stochastic differential equations describing the coupled nonequilibrium phase transitions. Under the action of a harmonic force the stable resulting process is divided into two branches depending on the amplitude of the harmonic force. Under the action of exponential relaxation in a lumped system with an increase in the dumping coefficient the power spectrum of the resulting process becomes a spectrum of the Lorentz type.
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Bibliographic InfoArticle provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.
Volume (Year): 391 (2012)
Issue (Month): 23 ()
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Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/
1/f noise; Stability; Stochastic equations; Maximum entropy principle; Nonequilibrium phase transitions;
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