此外，文中两个定理还可解决两大类问题的线性和非线性计算不稳定性问题。
Besides, the two theorems can also solve two large categories of problems about linear and nonlinear computational instability.
研究表明，在高阶色散下，正负五阶非线性的存在仍然分别对交叉相位调制不稳定性起加强和削弱的作用；
The results show that, in case of high-order dispersion, the positive and negative quintic nonlinearity also intensifies and weakens the cross-phase modulation instability, respectively.
无论线性或非线性二阶变分都给出不稳定性判据。
The second variation, linear or nonlinear, gives the criteria of instability.
发现了横向电子热传导烧蚀在长波长扰动的非线性瑞利·泰勒不稳定性演变中起重要作用。
It is discovered that lateral ablation of electron conduction plays an important role in nonlinear evolution of the Rayleigh-Taylor instability with a longer wavelength.
计算结果表明，在短暂的线性增长之后，不稳定性将趋于非线性饱和。
It is found that the instability tends to become nonlinear saturation after, a short period of linear growth.
利用广义李雅普·诺夫方法，研究了广义非线性离散系统，给出了广义非线性离散系统稳定性定理和不稳定性定理。
The method of singular Lyapunov's function is employed to study the singular nonlinear discrete systems, the theorem of stability and the theorem of no stability on it are given.
从非线性薛定谔方程出发得到了色散缓变光纤中交叉相位调制(XPM)不稳定性的增益谱。
Modulation instability gain spectrum resulted from cross-phase modulation (XPM) in decreasing dispersion fiber (DDF) is presented from nonlinear Schrodinger equation.
形成磁岛的特征时间很大于流动撕裂模不稳定性引起磁岛非线性饱和的特征时间。
The characteristic time for the formation of magnetic islands is much longer than that of nonlinear saturation of magnetic islands caused by the streaming tearing instability.
非线性撕裂膜不稳定性是空间物理中非常典型的现象，是了解和研究空间物理的基础之一。
Nonlinear tearing mode instability is simple in space physics, and it is basic to research space physics.
基于非线性耦合模方程，研究了非线性管理光纤光栅中的调制不稳定性，得到了调制不稳定性的色散关系。
Modulation instability in fiber grating with nonlinearity management is studied based on the nonlinear coupled-mode equations. The dispersion relation for modulation instability is obtained.
对于电磁吸浮型磁浮列车，悬浮控制是其关键部分，由于该系统的非线性和不稳定性，需要通过主动控制使其稳定悬浮。
Due to the inherent nonlinearities and instability of the electromagnetic suspension system, suspension control is key point. So it is needed active control in order to keep steady suspension.
动量方程、三温方程组采用分裂法求解，以克服强耦合非线性可能引起的数值不稳定性。
The set of RMHD equations is solved with use of split tricks to avoid possible numerical instabilities due to much coupling in solving the set of highly nonlinear equations.
利用V函数方法研究非线性系统的实用不稳定性。
The problem of practical instability of nonlinear systems is considered by means of the V-function method.
磁悬浮球系统是一种典型的非线性、不稳定性系统。
Magnetic levitation system is characterized by its instability, nonlinearity.
基于修正的非线性薛定谔方程，利用线性扰动理论和数值方法研究了单模光纤中的调制不稳定性。
Modulation instability (MI) in single-mode optical fibers is investigated analytically and numerically using a modified nonlinear Schrdinger equation.
基于非线性包络方程我们研究了平面非线性介质波导中的时空不稳定性，得到了有拉曼散射效应情形下不稳定性调制的增益谱的表达式。
Spatiotemporal instability in the planar nonlinear dielectric waveguide is analyzed by nonlinear equation, and the expression of Modulation instability(MI) gain in Raman Scattering is obtained.
工业锅炉的主要动态特性包括非线性、非最小相位特征、不稳定性、时滞和负荷干扰，采用传统控制方法难以实施有效控制。
The major dynamics of a boiler include non-linearity, non-minimum phase behavior, instability, delay and load disturbance. The traditional control strategy could not offer satisfactory result.
自二十世纪七十年代以来，由于电力电子器件及其它非线性负荷在电网中大量的投入使用，使电网的非线性、不稳定性和不对称性日趋严重。
Since 1970s, the nonlinear, the instability and theunbalance of the voltage have become more and more serious due to the electronic device and other nonlinear load in power network.
自二十世纪七十年代以来，由于电力电子器件及其它非线性负荷在电网中大量的投入使用，使电网的非线性、不稳定性和不对称性日趋严重。
Since 1970s, the nonlinear, the instability and theunbalance of the voltage have become more and more serious due to the electronic device and other nonlinear load in power network.
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