稳定性

It is proved that, when the value of critical threshold less than 1, the disease free equilibrium point is globally asymptotically stable. Further more, Bursaphelenchtis Xylophilus is used to construct the Lyapunov function, and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable. It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.

证明了当临界阈值小于1时，无病平衡点是局部渐近稳定的，进一步利用巴尔巴欣公式构造Lyapunov函数，运用Lyapunov稳定性理论证明了该平衡点的全局渐近稳定性，说明松材线虫病会最终消失；当临界阈值大于1时，病虫害平衡点是局部渐近稳定的。

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。

Lyapunov stability theory was used to prove the asymptotic stability of the closed-loop control system.

对该控制律，利用Lyapunov稳定性定理证明了闭环系统的渐近稳定性。

According to Lyapunov stability analysis, it is proved that the proposed method can guarantee both synchronization and position errors converge to zero and the system is asymptotically stable.

基于李亚普诺夫稳定性理论证明了所提出的控制策略能够使同步误差和位置误差均收敛到0，并且只保证了系统的渐近稳定性。

Ti-Si composite materials are mixed at atomic scale, and Ti-O-Si bond appears in all of the samples with different TiO2 content; the mixed oxides are mainly existed in the form of amorphous pattern, anatase appears when the TiO2 content is more than 80%, but compared with the intension of pure TiO2, it has not integrate structure. The acetic content has great influence in the specific area and crystal structure of the mixed oxides. 20TiSi has good heat stability, still possesses 11m2/g after calcined at 1100℃; calcinations on the large scale of temperature does not cause the break of Ti-O-Si bond, TiO2 is well dispersed in 20TiSi calcined at 1100℃, and it still existed in the form of amorphous.

结果表明：制得的Ti-Si复合氧化物具有很高的比表面积，在TiO_2含量为10％时达到681.5m~2／g，Ti原子进入Si-O四面体结构中，形成Si-O-Ti键，复合氧化物的稳定性好，当TiO_2含量低于60 wt％时，以无定型形式存在；当含量为80％时，出现锐钛矿型TiO_2，但与纯TiO_2相比晶型不完整：醋酸对Ti-Si复合氧化物的比表面积、晶型都有很大的影响；TiO_2含量为20％的20TiSi经1100℃高温焙烧后，仍有较高的比表面积(11m~2／g)，稳定性好，在较宽的温度范围内焙烧，没有引起Ti-O-Si键的断裂，分散度高，没有出现晶型TiO_2。

The behavior of these heated carbon nanotubes can be explained with the carbon atomy bond structure. The curves of energy to temperature for the nanotubes are given for showing the changes of their thermal stability.

在深入分析碳纳米管内碳键结构的基础上，进一步探讨了各种碳管的碳键从sp^2向sp^3转变的情况，利用键重构对碳管的热稳定性给出了理论解释；通过平均能量和温度的关系曲线分析，研究碳管热稳定性的变化。

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。

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。

Some useful notations and definitions are give in this chapter.In Chapter 2,a class of discrete-time model of two-cell cellular neural networks with symmetric temptate are investigated. We obtain some results about the stability,asymptotic stability,the existence and attractability of 2-periodic solutions.

第三章讨论了反馈矩阵为非对称矩阵的二元离散细胞神经网络模型的稳定性与渐近稳定性、周期解的存在吸引性，除了得到系统稳定和存在2-周期解的相关结果外，还得到了系统在原点出现类似于Hopf分支的局部分支以及多个吸引4k-周期解的共同存在性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。