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Stability of viscoelastic systems under stochastic excitation
Author(s) -
Potapov Vadim
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700783
Subject(s) - parametric statistics , viscoelasticity , stability (learning theory) , mathematics , excitation , stochastic differential equation , gaussian , noise (video) , mathematical analysis , statistical physics , physics , computer science , statistics , thermodynamics , quantum mechanics , machine learning , artificial intelligence , image (mathematics)
An effective method for the investigation of the stability for viscoelastic systems under a parametric stochastic excitation is proposed. The parametric force is assumed in the form of a Gaussian stationary colored noise. The method is based on the simulation of random processes, the numerical solution of differential equations, describing the perturbed motion of the considered system, and the calculation of top Liapunov exponents. The considered method makes it possible to estimate the almost sure stability and the stability with respect to statistical moments of the different order. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)