柱面上扰动Hamilton系统次谐解的存在性与稳定性

我们通过计算Melnikov函数,获得柱面上一类扰动Hamilton系统的次谐解的存在性与稳定性判别准则。

非线性系统的次谐分叉解在临界点μ^2＋4σ^2—1=0上的稳定性

利用多尺度方法求得了VanderPol Mathieu方程的分叉解 ,根据平均方程Jacobi矩阵的特征值分析了定常零解在双曲点的稳定性 ,并用中心流形定理研究了定常零解在非双曲点的稳定性 .

用MLP方法求一类强非线性系统的次谐和超谐共振解

借助于文 [4]所提出的变换参数以α=εω1(nmω0 ) 2 +εω1,采用改进的LP方法 ,研究了一类具有五次非线性系统的 13 次和 15次亚谐共振解以及 3次和

一类非线性结构的动力行为分析

对工程中许多非线性结构受迫振动系统动力行为的研究，可归结为对含二次和三次非一性项动方方程的研究。本文针对带参数的此类动力方程，研究了周期轨道、次谐轨道、异宿轨道、混沌等系统的动力行为问题。

Si(111)Electrode/Electrolyte Interfacial Studied by in-situ Second Harmonic Generation

Si(111)electrode has been widely used in electrochemical and photoelectrochemical studies.The potential dependent measurements of the second harmonic generation(SHG)were performed to study Si(111)electrode interface.At different azimuthal angles of the Si(111)and under different polarization combinations,the curve of the intensity of SHG with extern potential has a different form of line or parabola.Quantitative analysis showed that these differences in the potential-dependence can be explained by the isotropic and anisotropic contribution of the Si(111)electrode.The change in the isotropic and anisotropic contribution of the Si(111)electrode may be attributed to the increase in the doping concentration of Si(111)electrodes.