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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2019 Volume 22, Number 1, Pages 41–52 (Mi sjim1031)

This article is cited 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.

UDC: 519.676

Received: 11.12.2017
Revised: 15.06.2018
Accepted: 15.12.2018

DOI: 10.33048/sibjim.2019.22.105


 English version:
Journal of Applied and Industrial Mathematics, 2019, 13:1, 65–75

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