Parametric excitation of multimode dissipative systems.
Parametric excitation of multimode dissipative systems.
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DOI：
10.1103/physreva.35.4892
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发表时间：
1987-06
期刊：
影响因子：
--
通讯作者：
Meron
中科院分区：
文献类型：
--
作者：
Meron
提出了一种研究多模耗散系统参数激励的一般方法。它是建立在对标准形式方程的推导和将这些方程简化为低维流的基础上的。给出了单模和双模系统的一般结果。讨论了参数激发表面波系统的意义；根据激发频率的不同，预测了波的起始可以是平滑的，也可以是滞后的，并对实验观察到的双模系统中出现的模抑制效应给出了解释。
A general approach to the study of parametric excitation of multimode dissipative systems is proposed. It is based on the derivation of normal form equations and on the reduction of these equations to flow of lower dimensionality. General results for single- and double-mode systems are presented. The implications for the system of parametrically excited surface waves are discussed; it is predicted that the onset of waves can be either smooth or hysteretic depending on the excitation frequency, and an explanation is given for the experimentally observed mode-suppression effect, occurring in double-mode systems.