渐近稳定的

The second chapter discusses the stability of the continuous recurrent neural network and presents a new analysis method. The idea of the method is that"the continuous recurrent neural network is said to be absolutely stable, if it has only an asymptotic stable equilibrium point".

文中对连续回归网络的稳定性进行了研究，提出了一种新的分析方法，其基本思想在于"如果一个回归网络只有一个渐近稳定的平衡点，则网络绝对稳定"。

It is shown that if R01, it is unstable, but the endemic equilibrium is locally asymptotically stable.

并证明了，如果R01，则它是不稳定的，但是，地方病平衡点是局部渐近稳定的。

Furthermore, the existing condition of stable controlling for another form of the system is studied and the sufficient condition of making a closed loop system asymptotically stable in local bound is also discussed.

然后，研究了另一形式的滞后离散广义双线性系统稳定控制存在的条件，并给出了使闭环系统局部渐近稳定的充分条件。

What differ from that of the researchers in the past is the consideration of the direction of Hopf bifurcation with Dirichlet boundary condition , that is, the conditions when the Hopf bifurcation periodic solutions are orbitally asymptotically stable with asymptotic phase.Our basic idea come from the results given by Tang[30]. We adopt the method used by Hassard in the Hopf bifurcation theorem in [24], which is to judge the existence and the direction of Hopf bifurcation, and the stability of the Hopf bifurcation periodic solutions.

与以前的研究者不同的是，本文不仅讨论了在Dirichlet边界条件下系统的Hopf分支在以扩散系数为分支参数的情况下的存在性和分支周期解的空间非齐次性，而且更多的关注了系统在Dirichlet边界条件下Hopf分支解的稳定性及Hopf分支的方向，也即系统定态解在何种条件下，当分支参数如何变化时产生Hopf分支且分支周期解是带渐近位相轨道渐近稳定的。

The problem of stabilization of a class of discrete time nonlinear systems with time delay is studied.

研究了一类带有延迟的多输入离散时间非线性系统，利用Lyapunov方法建立了闭环系统稳定的充分条件，并给出了使系统全局渐近稳定的状态反馈控制律，从而延伸若干已有结果。

The existence and uniqueness of the solution with the help of the Banach fixed point theorem and the theory of operator semigroups are verified .The global exponential stability of KS equation and the global exponential stability and asymptotical stability of macro KS equation with the given boundary feedbacks are proved .

通过Banach不动点原理和算子半群理论证明了方程解的存在性和唯一性，并证明了KS方程在给定的边界反馈条件下是全局指数稳定的及广义的KS方程在给定的边界反馈条件下是全局指数稳定和渐近稳定的。

The authors obtained that the zero solutions of the functional differential equation were B uniformly stable and B uniformly asymptotically stable.

得到该方程的零解是B一致稳定且B一致渐近稳定的结论。

There are two possibilities if we consider only the case that the positive equilibrium of the system p is hyperbolic.

该模型在我们感兴趣的区域里面存在一个双曲平衡点；并且这个平衡点要么是渐近稳定的，要么其稳定流形是一维的从而存在周期解。

This system is permanent by comparative principle and globally asymptotically stable through constructing a Liapunov function; for the periodic case, the research has obtained conditions for existence, uniqueness and stability of a positive periodic solution.

利用比较原理研究了系统的持久性，通过构造Liapunov函数证明了系统的全局渐近稳定性，在假设系统为周期系统的条件下得到了正周期解的存在唯一性和全局渐近稳定的充分条件。

Based on the dynamical system of a tuberculosis spread m odel, the dynamical behavior of a tuberculosis spread model with constant immigr ation was discussed, and the local and global asymptotic stability of the endemi c equilibrium on this model is studied by using Hurwitz criterion and multiple m atrix theory. Sufficient conditions for the local and global asymptotically stab ility of the endemic equilibrium on this model are obtained.

在结核病传播的数学模型的动力学系统基础上，利用 Hurwitz 判据和复合矩阵理论，讨论了具有常数移入的结核病传播的数学模型的动力学性质，研究了具有常数移入的结核病模型的地方病平衡点的局部和全局渐近稳定性，得到了具有常数移入的结核病模型的地方病平衡点是局部和全局渐近稳定的充分条件。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。