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With the use of analytical and numerical analysis to analyse the stability and attractability of the network using the two learning rules, the associative memory of the network using higher-order projection algorithm is better than that of using higher-order Hebbian algorithm.

通过在解析和数值两方面对这两种学习规则下网络的稳定性和吸引性的分析,可以看出高阶投影规则下网络的联想记忆性能比高阶Hebb规则下的要好。

With the new concept,the problem of variable structure control of 2D discrete system is transferred to the problem of seeking a sliding model with good sporting character and attractability. The concrete design schemes of the imitative sliding model and variable structure controller are also put forward. And the concrete expression of the time T in ε-neighborhood of reaching switch manifold is obtained. The difficulty of applying the existing methods to MIMO systems is overcome.

在新概念之下,将2D离散系统的变结构控制问题转化为寻找一个既具有良好的运动品质又具有吸引性的滑动模问题,给出了滑动模及变结构控制器的设计方案,并且获得了达到切换流形的ε领域的时间T的具体表达式,克服了已有方法难以应用到多输入—多输出系统上的困难。

The quality and intensity of color, the uniqueness and attractiveness of the pattern.

颜色的质量和密度,独特性和吸引性

Rational Difference Equation; Global Attractively; Global Asymptotical Stability; Subsequence; Auxiliary equation

基础科学,数学,数学分析有理差分方程;全局吸引性;全局渐近稳定性;半环;辅助方程

In Chapter 4, we study the global attractivity of monotone random dynamical systems.

在最后一章,我们研究了单调随机动力系统的全局吸引性

The affinity is the combination of mutual attraction and mutual repellence.

亲和作用具有两重性,它是吸引性和排斥性的统一体。

By Independent-subsystem method, the results of existence and global attractivity of a positive periodic solution are obtained.

本文运用重合度理论中的Mawhin延拓定理或系统的持久性结果得到了几类种群生态学模型正周期解的存在性条件;并通过构造Lyapunov泛函(或Razumikhin函数)研究了某些模型正周期解的全局吸引性

In chapter 2, we introduce a generalized harvesting model, which is belong to piecewise continuous argument delay equations, we present sufficient condition to ensure the global attractivity of unique positive equilibrium and explore the possibility of emerging complex behavior-chaos.

研究了其正平衡解的全局吸引性,和可能出现的复杂动力学行为--混沌;利用概周期序列的概念研究了分段连续时滞的微分方程的概周期解的存在性。

The persistence, existence, stability and global attractivity of periodic solutions of Lotka-Volterra systems are an important direction of mathematical ecology research. It has been an important topic to give a definite criterion of the properties of a complicated ecological system. Many ecologist and mathematician have paid much attention in this field.

生态系统的持久性、周期解的存在性及稳定性、全局吸引性等问题是数学生态学理论中的一个重要研究内容,对上述问题给出明确的判定准则是数学生态学的一个重要课题,历来受到生态学家与数学家的广泛重视。

When the modified system collapses to a stable equilibrium or periodic oscillation, the existence of generalized synchronization can be converted to the problem of compression fixed point under certain conditions. Strict theoretical proofs are given to the exponential attractive property of generalized synchronization manifold.

即在响应系统的修正方程在具有渐近稳定平衡点或渐近稳定周期轨道的情况下,满足一定的条件,可将广义同步化流形存在性问题转化为Lipschitz函数族的压缩不动点问题,理论上严格证明了该广义同步化流形的指数吸引性

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I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援,我们正徵召国家所有各种的力量:我们的外交及发展,我们的经济力量与道德劝说,所以你们与其他军人不须要孤独地负起国家安全的责任。

Imagine yourself to be an actor in a play on the stage.

设想你自己是一个演员在舞台上表演。