|
This article is cited in 1 scientific paper (total in 1 paper)
Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators
A. A. Ivanov Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrentieva 6, 630090 Novosibirsk
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.
Received: 11.12.2017 Revised: 15.06.2018 Accepted: 15.12.2018
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
Linking options:
https://www.mathnet.ru/eng/sjim1031 https://www.mathnet.ru/eng/sjim/v22/i1/p41
|
Statistics & downloads: |
Abstract page: | 248 | Full-text PDF : | 61 | References: | 37 | First page: | 9 |
|