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Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

This dissertation shows each unstable asymptotic equilibrium point is just the pattern that refuses to be recognized by combining the idea about constraint and projection with the continuous network LSSM and the discrete network BSB, eliminates some shortcomings of LSSM and BSB in the distribution of attraction domain. LSSM and BSB are then improved to be ideal associative memory and can be implemented by circuit.

将约束投影思想与连续神经网络LSSM和离散神经网络BSB相结合，说明了不渐近稳定的平衡点恰是实际中拒识模式，根除了LSSM和BSB在吸引域分布等方面的一些缺点，将它们完善成为理想的联想记忆器，并且它可用电路实现。

The key idea is to reduce the global stability problem to the asymptotic stability of an uncertain discrete-time system.

主要思想是将所研究的极限环的全局稳定性问题转化为不确定离散系统的渐近稳定性问题。

ABSTRACT Discrete Event System is a kind of complex system characterized with asynchronism, concurrency, interaction, etc.

离散事件系统是一类异步、并发、交互影响的复杂系统，有关离散事件系统理论与控制的研究已有近二十年的历史，随着计算机技术和控制理论的发。。。

Bohr's proposal that the atom existed only in a discrete set of energy states still remains relevant, known as the Bohr atomic model, though it has been replaced scientifically.

玻尔的提议，即原子只存在于一个独立的国家的能源仍然是相关的，被称为玻尔原子模型，虽然它已取代科学。

Not all of these uses are for discrete single substances, some, such as cocoa butter fat or 'Attar of roses', are complex mixtures and blends, whose precise formulation and product quality control have long been a concern of industry.

这些不全都是单独使用，例如可可粉、黄油、脂肪或者"玫瑰精油"，这些都是复杂的混合物，他们精确的分子式和产品的质量是长期以来工业所关心的。

In this thesis, we describe some important properties of the dynamic behaviors of several class of time-discrete models of two neurons, which includes stability, asymptotic stability, the existence and attractability of periodic solutions, Flip-bifurcation and Neimark-Sacker-bifurcation.

本学位论文对几类二元离散神经网络模型的动力学性态进行了定性分析，讨论了这些神经网络模型的稳定性、渐近稳定性、周期解的存在吸引性、Flip-分岔和Neimark-Sacker-分岔，全文共分五章。

In this thesis, we describe some important properties of the dynamic behaviors of several class of time-discrete models of two neurons, which includes stability, asymptotic stability, the existence and attractability of periodic solutions, Flip-bifurcation and Neimark-Sacher-bifurcation.

本学位论文对几类二元离散神经网络模型的动力学性态进行了定性分析，讨论了这些神经网络模型的稳定性、渐近稳定性、周期解的存在吸引性、Flip-分岔和Neimark-Sacker-分岔，全文共分五章。

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。

Therefore,in this thesis, by using of the Lyapunov function ,Lasalles in-variance principle and the analytical technique to construct return mappings[34-36],we describe some important properties of the dynamic behaviors of two class of discrete-time model of two-cell cellular neural networks ,which includes stability,asymptotic stability,the existence and attractability of periodic solutions.

因此，本学位论文利用Lyapunov函数和Lasalle不变集原理以及利用分析技巧构造回复映射等方法对两类二元离散细胞神经网络模型的动力学性态进行定性分析，讨论了这些模型的稳定性、渐近稳定性、周期解的存在吸引性，全文共分三章。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。