Abstract:
Using the method of statistical modeling, the questions are studied of the effect of random noise on synchronization in the system of stochastic differential equations (SDE system) of two coupled Duffing oscillators. Calculation of various frequency characteristics for the numerical solution of a nonlinear SDE system is carried out by the generalized explicit Euler method. The results of numerical experiments are presented.
Keywords:
stochastic differential equations, generalized Euler method, Monte Carlo method, synchronization, coupled Duffing oscillators, supercomputer, frequency integral curve, frequency phase portrait.
Citation:
A. A. Ivanov, “Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators”, Sib. Zh. Ind. Mat., 22:1 (2019), 41–52; J. Appl. Industr. Math., 13:1 (2019), 65–75
\Bibitem{Iva19}
\by A.~A.~Ivanov
\paper Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 1
\pages 41--52
\mathnet{http://mi.mathnet.ru/sjim1031}
\crossref{https://doi.org/10.33048/sibjim.2019.22.105}
\elib{https://elibrary.ru/item.asp?id=38683515}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 1
\pages 65--75
\crossref{https://doi.org/10.1134/S1990478919010083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064911836}
Linking options:
https://www.mathnet.ru/eng/sjim1031
https://www.mathnet.ru/eng/sjim/v22/i1/p41
This publication is cited in the following 1 articles:
M. S. Aswathy, S. Sarkar, “Frequency characteristics and phase dynamics of a stochastic vortex induced vibration system”, J. Sound Vibr., 509 (2021), 116230
Citation in format AMSBIB
Contact us: