An investigation of the response characteristics of a system of coupled resonant circuits to stochastic disturbance

Abstract

The solution to the problem of searching for the reaction of multi-frequency oscillatory systems to random action based on the residual method is proposed. The mathematical foundations of the proposed approach are presented and justified. The regularity of the reaction is demonstrated for various exposure and system parameters. The effect of stochastic disturbance on the behavior of the system is studied. The proposed theoretical foundations for solving the problem of searching for the response of multi-frequency oscillatory systems to random action based on the residual method are confirmed by the results of the simulation. Table: 1. Refs.: 13 titlesKeywords: system of coupled oscillatory circuits; multi-frequency oscillatory system; system response; residual method.