非线性不稳定性

负能模式在驱动漂移波非线性不稳定性中的作用（Ⅱ）与正能模式交换，回避交叉和Hopf分岔

The effect of negative energy mode on nonlinear instability in driven drift waves ( ⅱ ) exchange with positive-energy mode , 'avoided-crossing ' and the Hopf bifurcation

本文简要介绍了近年来运用Arnold方法（能量&Casimir方法）研究大气运动非线性不稳定性所取得的若干新进展，讨论了该理论深人发展的前景及其应用问题。

In this paper , some recent advances in the study of nonlinear instability of the atmospheric motions by using Arnold 's method ( energy-Casimir method ) are summarized . The prospects of the further development of the theory and its applications are also discussed .

大气运动非线性不稳定性研究的若干新进展

Some Advances in the Study of Nonlinear Instability of the Atmospheric Motions

以物理定律纠正非线性不稳定性&关于非线性双曲型方程的数值解格式

Correcting nonlinear instability by a given physical law & on the numerical schemes of nonlinear hyperbolic equation

模拟结果表明这种结构中确实存在非线性不稳定性，自调制的扰动频率则由电子束的初始能量、电荷密度和电子束的半径以及谐振腔的空间结构给定。

The simulation results show that nonlinear instability truly exists in this configuration , the frequency of the self-modulation perturbation depends on the initialization of electron beam energy , charge density , electron beam radius and the size of the oscillation cavity .

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 .

关于四阶和五阶非线性系统不稳定性的新结果

New Results About Instability of Some Fouth and Fifth Order Nonlinear Systems

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 .

发酵过程是一个极其复杂的过程，不仅所需的环境参数不同，而且具有很强的非线性及不稳定性。

Fermentation process is a very complicated process , which needs different environment parameters and has seriously nonlinear and instability .

由于非线性和不稳定性的存在，高阶∑-Δ调制器的设计与实现存在较大的难度。

Design and implementation of high order ∑ - △ modulator is difficult because of the existence of non-linearity and instability .

但是由于磁悬浮系统本身固有的非线性和不稳定性，以及外部干扰引起的不确定性，使得难以为其建立精确的数学模型，增加了磁悬浮系统控制的难度，传统控制方法难以满足系统要求。

However , it is difficult to build its mathematical model because of its inherent nonlinearity , instability , as well as the problem of uncertainties caused by disturbance of the traditional magnetic levitation control system .

这种结构特殊性，使得该系统具有无接触、无摩擦、无需润滑及寿命长等优点，同时也使得该系统具有本质非线性、不稳定性和参数不确定性，给控制器的设计带来了很大的难度。

The structural speciality make AMB system have advantages of no contact , no friction , no lubrication , longevity of service , and so on , but also make AMB system have the characteristic of nonlinearity , instability and parameter uncertainty which brings difficulty to the design of controller .

很好地适应了电力系统的强非线性和强不稳定性。

It adapts well to the non-linearity and instability of electric power system .

几类三阶、四阶非线性系统的不稳定性

Instability of Nonlinear System of Third and Fourth Order

强非线性湍流的不稳定性分析

Instability analysis of strong nonlinearity of turbulent flow

热管及热虹吸传热是同时存在蒸发和冷凝、流动和传热的复杂过程，表现出显著的非线性动力系统不稳定性，具有混沌的特征。

Evaporation , condensation , flow and heat transfers co-exist in the complicated work process , which presents marked non-linear dynamic system instability and chaos characteristics , of heal pipes and thermosyphons .

此外，本文得到了色散磁导率所导致的任意高阶非线性色散对不稳定性的影响的一般性规律。

In addition , special attention is paied to the general features of instability induced by arbitrary high-order nonlinear dispersion effects originating from the combination of dispersive magnetic permeability and nonlinear polarization .

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 .

（非线性系统）的不稳定性通常表现为极限环的形式。

Instability shows itself frequently in the form of limit cycles .

线性和非线性中尺度对称不稳定性研究固定约束松动对输流管道稳定性和临界流速的影响

Research on Linear and Nonlinear Mesoscale Symmetric Instability Theory ; Analysis of critical flow velocities of pipe conveying fluid under relaxation of boundary conditions

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 .

研究结果表明，伪微分反馈控制策略针对混合磁悬浮系统非线性和固有的不稳定性具有鲁棒性和控制精度高的特点。

The study results show that the PDF control solution possess the characteristics of robustness arid high control precision , comparing the nonlinear instability of the hybrid-excited magnet system .

基于MATLAB对非线性系统所做的仿真研究，显示出钢板磁悬浮系统具有典型的非线性和不稳定性。

Simulation result of the nonlinear system based on MATLAB helped to make a further understanding of the system nonlinearity and instability .