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1)  small perturbation
小扰动
1.
Invariance of one class of nonwandering operator under small perturbation;
一类非游荡算子的小扰动下的不变性
2.
In order to estimate the influence of the initial field error on the river simulation,the governing equation is developed by the small perturbation method in this paper.
为分析河流初始场误差对计算结果的影响,利用小扰动方法推导了流动模拟过程中初始场误差发展的控制方程,并依照湖泊假潮的形式得到了方程的分析解。
3.
Evolution features of small perturbation superimposed on optical beam in Kerr gain(absorption) medium have been analyzed by using Bespalov-Tanalov theory,and relation between spatial frequency of small perturbation and gain(absorption) coefficient has been studied in this thesis.
应用Bespalov-Tanalov理论,分析了克尔型放大介质中光束小扰动演化特性,研究了小扰动空间频率与介质长度及增益系数的关系。
2)  small disturbance
小扰动
1.
Analyse effect of several modes that connected generator excitation restriction and PSS to AVR on small disturbance stability,bring forward possible weaken small disturbance stability in the comparative mode that underexcitation restriction connect to AVR with PSS,in the case,must consider the parameters of underexcitation restriction and PSS.
分析了几种励磁限制和电力系统稳定器(PSS)介入自动电压调节器的方式对小扰动稳定性的影响,提出了弱联系系统及带有PSS以比较门方式介入电压调节器的低励限制有可能削弱小扰动稳定性,需要考虑低励限制环参数和PSS的参数以提高小扰动稳定性。
2.
We proposed a new lattice Boltzmann model for the small disturbance subsonic-potential flows.
给出一种新的用于模拟亚声速流小扰动下的格子Boltzmann模型,通过使用Chapman-Enskog展开和多尺度技术,得到一系列的格子Boltzmann方程,给出了满足亚声速流小扰动线化方程的平衡态分布函数表达式。
3.
? The unsteady flow is taken as the steady flow and the small disturbance flow to simulate the unsteady incompressible flow field.
为模拟不可压非定常小扰动流场,本文将非定常流场分解为定常平均流场和以简谐振荡为运动规律的非定常小扰动的叠加,理论推导了不可压非定常小扰动流场的控制方程,发展了一种求解不可压非定常小扰动流场控制方程的差分格式。
3)  Perturbation [英][,pɜ:tə'beɪʃn]  [美]['pɝtɚ'beʃən]
小扰动
1.
This paper develops a new method to study the Hopf bifurcations of periodic orbits in three-dimensional, time dependent perturbation of planar Hamiltonian differential equations, and gets a series of concise formula to simplify the Hopf bifurcation conditions by some mathematical skill and subharmonic Melnikov method.
针对三维时变小扰动哈密顿系统的Hopf分岔的理论仅仅适用于自治系统的情况,运用Melnikov方法研究了时变小扰动哈密顿系统周期轨道发生Hopf分岔的条件,并将这些条件应用于一类三维时变小扰动非自治系统,使之能用于非自治系统。
4)  small disturbance theory
小扰动
1.
First of all,the paper defines heat economy analysis as the means of big disturbance theory which combined with turbine varying condition and of small disturbance theory which is with the method of linearization.
首先将目前的节能分析方法定义为结合汽轮机变工况计算的大扰动法和线性化处理的小扰动法。
2.
Based on the combination of the matrix equation,the small disturbance theory and the fundamental equations of thermal efficiency analysis,the internal work and thermal analysis equations are educed,and then the quantitative analysis equations for the system energy saving analysis are built.
以矩阵方程为数学工具,依据小扰动理论的基本原理,从热力系统热经济性基本方程出发,推导出了系统节能分析的内部功和吸热量分析方程,进而得到了系统节能定量分析的基本方程。
5)  small perturbations
小扰动
1.
The small perturbations of one dimensional degenerate diffusion processes is considered.
考虑一维退化扩散过程的小扰动
6)  least disturbance
最小扰动
1.
Based on the character that hidden layer wavelet function of wavelet networks can adjust scale factor and shift factor to affect output of networks,the least disturbance algorithm adding scale factor and shift factor is proposed and it can calculate the dynamical learning ratio to improve the stability and convergence of wavelet networks.
针对小波神经网络的隐层小波函数可以调节伸缩因子与平移因子影响网络输出的特点,将其伸缩因子与平移因子引入到最小扰动动态学习率的学习算法中。
2.
The learning algorithm which calculated dynamic learning ratio based on least disturbance was deduced to compensate sensibility.
采用广义Sigmoid函数作为隶属函数,并推导出基于最小扰动的网络学习方法补偿敏感性。
补充资料:持续作用扰动下的稳定性


持续作用扰动下的稳定性
stability in the presence of persistently acting perturbations

  持续作用扰动下的稳定性仁咖幽勺协触脚。曰盆兄of哪滋众团ya曲嗯碑由州画d.侣;yc功后”.即c几np班noc”-,。110朋益e拍即IO四,x BO3M脚日e朋,xj 初值问题 交=f(x,r),x(t。)二x。,x任R”(*)之解x。(t)(t)t。)的如下性质:对每一个。>O都有一个占>O使得对每一个适合不等式!y。一x。}<占的夕.,,以及满足以下条件的每一个映射g(x,:): a)在集合 E:={(x,t):t)t。,{x一x。(t)i<。}上g和g,都连续; b)s印(:,,)。::}夕(x,t)一f(x,t)I<吞,初值问题 乡=g(y,t),夕(t。)=夕。,夕任R”的解y。(t)对一切t)屯,有定义且满足不等式 suP}y。(t)一x。(t)}<£. r)t。 Bohi定理(B心h】t玩”~)(【11).设初值问题(,)有解x(t),t)t。,满足以下条件: 幻f和fx对某个。。在瓦。上连续; 刀)s叩。,:。4}人(x(t),t)}}<+的: 下)映射f在点(x(t),‘),t)t。,处对x可微,这个可微性对t)t。是一致的,即 s叩兴}厂(二(‘)+,,,)一f(、(。),:)+ ,》万。}y} 一人(x(t),亡)yl~0当y一,O时.这时,为使初值问题的解在持续作用的扰动下为稳定,必要与充分条件是:方程组又=厂(x,t)沿解x(t)的变分方程(粗血tiona】叹业tio璐)组的上奇异指数(见奇异指数(s泊g止汀exponents))小于零. 若f(x,t)不含t(即自治系统),而解x(t)为周期的或常值的;或者f(x,t)对t有周期而解x(0也有相同的(或可公度的)周期或者常值,则:l)Bohi定理中所陈述的一致可微性条件是多余的(它可从定理的其他条件导出);2)方程组交=f(x,t)沿解x(t)的变分方程组的上奇异指数可以有效地算出来.【补注】持续作用扰动下的稳定性也称为持续扰动下的稳定性(stab正ty Under pelsis招ni perturhatio幻)或全稳定性(total stabiljty).
  
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