Resonance regions of extended Mathieu equation

International Conference on Computer Simulation in Physics and Beyond 2015

物理学;计算机科学

Semyonov, V.P.^1,2 ; Timofeev, A.V.^1,2

Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Talinskaya 34, Moscow

123458, Russia^1

Joint Institute for High Temperatures of the Russian Academy of Sciences, Izhorskaya 13 Bldg 2, Moscow

125412, Russia^2

关键词: Dusty plasmas;    Mathieu equation;    Numerical approaches;    Numerical solution;    Parametric resonance;    Resonance region;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/681/1/012025/pdf
DOI  :  10.1088/1742-6596/681/1/012025

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

One of the mechanisms of energy transfer between degrees of freedom of dusty plasma system is based on parametric resonance. Initial stage of this process can de described by equation similar to Mathieu equation. Such equation is studied by analytical and numerical approach. The numerical solution of the extended Mathieu equation is obtained for a wide range of parameter values. Boundaries of resonance regions, growth rates of amplitudes and times of onset are obtained. The energy transfer between the degrees of freedom of dusty plasma system can occur over a wide range of frequencies.