A stochastic complex model with random imaginary noise

被引：9
作者：
Lang, RongLing [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Elect & Informat Engn, Beijing 10091, Peoples R China
来源：
NONLINEAR DYNAMICS | 2010年 / 62卷 / 03期
关键词：
Stationary probability; Imaginary noise; Complex model; Stochastic averaging method (SAM); Fokker-Planck-Kolmogorov equation (FPK); BEAM INTERACTION-MODELS; STABILITY; SYSTEMS; VIBRATION; EQUATIONS; DYNAMICS; REAL;
D O I：
10.1007/s11071-010-9743-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we study a stochastic complex beam-beam interaction model subjected to random imaginary noise. The general procedure is presented to obtain the Fokker-Planck-Kolmogorov equation (FPK) using stochastic averaging method in the case of a special example. The exact stationary probability of FPK is examined theoretically under certain conditions and then the first and second moments for the amplitude are expressed analytically. Finally, a numerical simulation is performed to verify the theoretical results of moments and excellent agreement can be observed between these two results.
引用
收藏
页码：561 / 565
页数：5
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