Geodesic
Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 1, pp. 41-52

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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. 
@article{SJIM_2019_22_1_a4,
     author = {A. A. Ivanov},
     title = {Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {41--52},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_1_a4/}
}
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A. A. Ivanov. Analysis of the effect of random noise on synchronization in a system of two coupled duffing oscillators. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 1, pp. 41-52. http://geodesic.mathdoc.fr/item/SJIM_2019_22_1_a4/