查询词典 stable convergence

Secondly, method of Taylor series is used to approximate the slow manifold and the O approximation of the slow manifold is given; slow dynamics such as saddle node bifurcation which has been proven to be the same as that for the full system is analyzed; at the same time, fast dynamics including bifurcation conditions and domain of attractor of the stable equilibrium are also analyzed; the attracting region which consists of the stable manifold of the unstable equilibrium and stable equilibrium is given; we found that when the inner flux decay increases, the domain of attractor is enlarged.

首先，给出了电力系统SMIB模型的时间尺度分解，得到标准的奇异摄动模型；其次，利用幂级数方法，给出了慢流形的O近似M〓，分析了在慢流形M〓上的慢动态，得到了慢子系统的鞍结分支值，并证明此分支值与原系统的鞍结分支值相同；分析了快子系统的平衡点和全局分支的存在条件，给出由不稳定平衡点的稳定流形与稳定平衡点形成的吸引域；并研究内部电压对稳定域的影响，发现稳定域随内部电压增加而扩大；最后给出整个系统的稳定平衡点的近似吸引域。

Aimed at the problem of choosing the initial value when the Newton method is used to compute the controlling unstable equilibrium point, a practical and rigorous solving scheme was presented: by identifying the controlling load bus of the given fault, and using the Thevenin equivalent circuit to represent the rest of the system at the state of the post disturbance stable equilibrium point, using the steady equivalent circuit to represent the induction motor in composite load, and then using the torque characteristics of induction motor, a point near the CUEP is gained to be the initial value. The second order normal forms was used to approximate the stable manifold of CUEP, and the local approximating boundary of the region of attraction of the post disturbance stable equilibrium point was gained. Then just by simulating the state of the system at the fault clearing time, the transient voltage stability of the system could be determined.

针对采用牛顿法求取故障后系统主导不稳定平衡点(controlling unstable equilibrium point，CUEP)存在的初值选取难题，提出一种实用但不失严谨的解决方案：通过识别给定故障的主导负荷母线，对主导负荷母线以外系统由故障后稳定平衡点处的状态进行戴维南等值，对负荷中感应电动机部分采用其稳态等值电路，再由感应电动机的转矩特性求得CUEP附近的一个点作为近似的CUEP，以此为迭代初值可靠求得CUEP；采用二阶正规型来近似CUEP的稳定流形的方法求得近似的局部吸引域边界；由仿真得到故障清除时刻系统的状态并根据该状态是否位于吸引域内判断系统的暂态电压稳定性。

The calculated results show that the X3+ cations each has two stable structures: the regular trigon(D3h) and the line with the regular trigon(D3h) being the ground state, while for three neutral X3Cl clusters, Sc3Cl has three stable isomers: the trigon-pyramidal(C3v), bidentate(C2v-1), and C2v-2 structures, Y3Cl and La3Cl each has only two stable isomers: the trigon-pyramidal(C3v) and bidentate(C2v-1) structures.

计算结果表明，三个X3+阳离子有两个稳定异构体：正三角型(D3h)和线型，其中正三角型为基态；对于三个中性的X3Cl团簇，Sc3Cl 有三个稳定的异构体：三角金字塔型(C3v)、双齿型(C2v-1)和 C2v-2型（图 1 e）；Y3Cl 和 La3Cl有2个稳定的异构体：三角金字塔型(C3v)和双齿型(C2v-1)。

The results showed that some heat-stable protein profiles disappeared gradually during barley germination, and heat-stable hordein proteins were exposed in proteolytic process which would reduce its content, by contrast, the content of heat-stable water-soluble protein increased by the end of barley germination.

结果显示，大麦发芽过程中部分热稳定性蛋白条带逐渐消失，热稳定性醇溶蛋白在发芽过程中遭受蛋白水解其含量最终有所减少，热稳定性水溶蛋白在发芽过程结束时其蛋白含量有所增加。

In general, the distribution of stable carbon and nitrogen isotopes revealed the mixing inputs of terrigenous and marine organic matter controlled the stable carbon and nitrogen isotope compositions in sedimentary organic matter. However, a series of physical, chemical and biogeochemical processes occurring in the local environments had also the significant influence on the stable carbon and nitrogen isotope compositions in organic matter.

研究区域内，稳定碳、氮同位素的地区分布和季节变化特征揭示，有机质中稳定碳、氮同位素组成不仅受陆源和海源有机质输入量之间消长变化的影响，同时一系列的生物地球化学过程、人为有机质的输入和沉积物粒度与叶绿素含量对碳、氮同位素组成均存在一定的改造作用。

First, we consider nonholonomic chained systems with modeling error, in this section,based on back-stepping , using the so-called adding a integrator , state-scaling technique , we design discontinuous feedback law,such that the trival solution of the closed-loop systems global strong stable; Second,we consider high-order nonholonomic chained systems with modeling errors and external disturbances, in this section,using input/state-scaling and integrator backstepping methods , we design discontinuous feedback law and give out the switching strategy, such that the closed-loop systems global /C-exponential stable; Finally, we consider a class of more general power chained form systems with particular drift-terms, in this section , using Lyapunov method, we design time-varying feedback law , such that the closed -loop systems p—exponential stable.

第一部分考虑的模型为带有模型误差的高阶非完整链系统，我们运用加幂积分器、State-scaling技巧以及基于Back-stepping方法构造出不连续反馈律，从而使得所讨论系统的闭环系统的平凡解全局强稳定；第二部分考虑的模型为带有模型误差的不确定高阶非完整链系统，这一部分我们运用input／state scaling和integrator backstepping方法构造出不连续反馈律，并给出切换策略，使得所对应的闭环系统全局κ-指数稳定；第三部分考虑的系统是形式更为一般的且带有特殊形式漂移项的幂链系统，利用Lyapunov函数方法，设计出时变反馈律，从而使得相应的闭环系统ρ-指数稳定。

By combining mathematical analysis with numerical simulation, we have shown that the Allee effect may be a destabilizing force in predator-prey systems: the equilibrium point of the system could be changed from stable to unstable or otherwise, the system, even when it is stable, will take much longer time to reach the stable state.

由于捕食者或猎物Allee效应的存在，系统的平衡点要么由渐进稳定变为中性稳定或不稳定，要么系统需要更长的时间才能到达平衡状态。

The protease activity in foregut was higher than that of midgut in an acidic condition at pH 5.0-5.8, while in an alkalescence condition at pH 7.0-8.6, the protease activity was higher in midgut than that in foregut. The lipase activity of foregut was high and stable in two pH ranges: 4.2-5.0 and 6.2-7.0, and that of midgut was high at pH 3.8, while the lipase lost enzyme activity at pH over 9.0. The amylase activity was high and stable at pH 6.6-7.4 in both foregut and midgut. The cellulase activity of foregut and midgut was high and stable at pH 6.2-7.4 and 5.4-7.0 respectively.

刺参前肠蛋白酶活力在酸性环境下较中肠高，且在反应pH为5.0-5.8之间酶活力相对稳定，而中肠蛋白酶活力在碱性环境下较前肠高，且在反应pH为7.0-8.6之间酶活力相对稳定；刺参前肠脂肪酶活力随着pH的升高出现两个相对稳定的峰值，分别为4.2-5.0和6.2-7.0区间，中肠脂肪酶活力在pH为3.8时达到最大值，而在pH超过9.0明显失活；刺参前肠和中肠淀粉酶活力在pH变化时表现出相似的变化趋势，在反应pH为6.6-7.4之间酶活力较高且相对稳定；刺参前肠和中肠中纤维素酶活力在pH变化时反应不一致，前肠淀粉酶在反应pH为6.2-7.4之间酶活力较高且相对稳定，中肠纤维素酶活力在反应pH为5.4-7.0之间酶活力较高且相对稳定。

Five different kinds of dynamic modes are found corresponding five regions in parameter space. In the region Ⅳ, the stable resting stable and stable limited circle of oscillation coexist.

通过改变描述心室肌细胞动作电位动力学的Beeler-Reuter方程的慢离子电导Gs和漏电流I，研究了Gs～Ⅰ平面上参数点对应的系统动力学模式和稳定吸引子性质。

After fencing, disturbance will be removed and plant community transform from annual plants to secondly stable shrub or relatively stable steppe, and biodiversity also increase, ecosystem tend to be more stable. Soil develop from mobi

围栏封育，干扰源消除，群落逐渐由不稳定的一年生植被向次稳定的灌丛化植被和相对

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。