Harmonic oscillator with non-Gaussian frequency fluctuations

被引：0
|
作者：
Dubkov, Alexander [1 ]
机构：
[1] Lobachevsky State Univ, Radiophys Fac, Nizhnii Novgorod 603950, Russia
来源：
2011 21ST INTERNATIONAL CONFERENCE ON NOISE AND FLUCTUATIONS (ICNF) | 2011年
关键词：
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The moment and probability characteristics of harmonic oscillator with white non-Gaussian frequency fluctuations are investigated. Using a functional approach we derive the integro-differential Kolmogorov equation for the joint probability density function of oscillator coordinate and velocity. Since it is difficult to find a solution of this equation in the steady state the set of equations for joint moments and the hypothesis of time-reversal symmetry which is valid for zero friction are applied. For the case of small friction we obtain the approximate probability distributions of oscillator coordinate and velocity which transform into exact stable Cauchy distributions in the limit of zero friction.
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页码：45 / 48
页数：4
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