 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 78, Issue 5 / 2014 | Next article >> |
| Zh.B. Bakirov and V.F. Mikhailov, "Analysis of non-linear stochastic oscillations by the averaging method," J. Appl. Math. Mech. 78 (5), 512-517 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
5 |
Pages |
512-517 |
| Title |
Analysis of non-linear stochastic oscillations by the averaging method |
| Author(s) |
Zh.B. Bakirov (Karagandy, Kazakhstan, mehkrg@mail.ru)
V.F. Mikhailov (Karagandy, Kazakhstan, mehkrg@mail.ru) |
| Abstract |
The solution of a quasiconservative non-linear oscillatory system is considered, the right-hand sides of which are proportional to a small parameter. Fundamental relations for solving the problem are obtained by changing to "slow" variables and a combination of the stochastic averaging method and the theory of Markov processes. An efficient numerical algorithm is developed based on the fast Fourier transform that enables the output parameter distribution density and the amplitudes of the oscillations to be obtained. Application of the theory to solve the Duffing-van der Pol equation for an additive and multiplicative stochastic action is considered. |
| Received |
17 October 2013 |
| Link to Fulltext |
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