稳定性条件

The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed, so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competition so as to become extinct.

研究当营养消耗率δ1＝δ1为一般的非减连续函数和δ2＝常数的三维Chemostat模型，分析系统平衡点的稳定性，三维系统经历Hopf分支的条件和由此产生的周期解的德定性，证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

Results Defining the conditions of product technology:the temperature of killing germs was 121 ℃,the time of the killing germs was 30 minutes,the pH was 7.0 and the powder of stabling was Arab gum;and the contents of protein and vitamine E were higher and the content of fat was reasonable.

结果 确定了蚂蚁混悬液的稳定性最佳的工艺条件为：杀菌方式为121 ℃、30 min，pH值为7.0，悬浮稳定剂为阿拉伯胶，混悬液浓度为1.0%；此口服液中含有较高的蛋白质、维生素E，脂肪含量适中。

Integrating the research findings in the field of sociology and psychology and the former research foundation, the paper presents a new with aims to systematically analyze stochastic stability of symmetric coordination game (2x2) under the divergence condition.

结合社会学，心理学等研究成果及已有研究的基础，提出了新模型来系统地研究离散条件下对称协调博弈的随机稳定性，新模型增加了可操作性与实用性，便于分析演化中间状态与逆转成本的具体数量关系，能够更加容易地解释现实中许多现象。

The results showed that the cellulose carbamate which synthesized with cellulose pulp that polymerization degree was in the range of 350-612 and the content of N in the range of 2.34%~3.56% could be dissolved in sodium hydroxide solution of 8% to 11% at temperatures of -5~10℃ form 7% cellulose carbamate solution with straw yellow. The obtained solution could be directly used for spinning.

结果表明：在-5~10℃条件下，用聚合度为350~612的纤维素浆粕合成的氮含量为2.34%~3.56%的CC能很好地溶解在质量百分比浓度为8%~11%的NaOH溶液中，形成淡黄色透明溶液，该溶液稳定性良好，可用于纺丝。

Using the discrete dynamical system determined by the stroboscopic map, an exact 1-periodic solution of the system which is with Beverton-Holt function and the threshold conditions for its stability are obtained.

运用由频闪映射决定的离散动力系统，得到了具 Beverton-Holt 功能函数系统的精确1-周期解，并讨论了它在临界条件下的稳定性。

The theoretical analysis are verified by numerical simulations.Chapter 3 mainly considers a class of predator-prey model with sublinear functional response function. We deduce some sufficient conditions ensuring stability of equilibrium, nonexistence , existence as well as uniqueness of the limit cycle around the positive equilibrium.

第3章研究了一类食饵为线性密度制约，功能反应函数为次线性函数的食饵-捕食者模型，完整地对模型的平衡点的全局稳定性和极限环的存在惟一性进行了定性分析，得到了该系统不存在闭轨线，正平衡点全局稳定和存在惟一稳定的极限环的充分条件。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

In order to reduce the effects of packet dropout on the system, a dropout compensator is added to the system, and a model for networked control systems with stochastic delays and dropout compensators is constructed, Based on this model, the sufficient conditions for the system asymptotical stability,γ suboptimum and optimum are given, and the output feedback control law for system H(subscript ∞) optimal control is obtained.

为了降低数据包丢失对系统稳定性的影响，在系统中增加了补偿器，并建立了具有丢包补偿器和随机网络诱导时延的NCS模型。在此模型的基础上，给出了系统渐近稳定和γ次优、最优的充分条件，并且获得了系统最优H控制的输出反馈控制律。

As a result,a sufficient condition is obtained for the stability test.

并给出了判定稳定性的充分条件。

The results show that:(1) after MA for 20h, single phase bcc nanocrystalline supersaturate solid solution formed in Fe84Nb7B9 and Fe80Ti8B12 alloys; the thermal stability of nanocrystalline microstructure in Fe80Ti8B12 alloy was improved significantly than that in Fe84Nb7B9 alloy, and the decomposition temperature of supersaturate solid solution decreased in Fe80Ti8B12 alloy.(2) under 30MPa/900℃/0.5h hot-press sintering conditions, the relative density of Fe84Nb7B9 and Fe80Ti8B12 bulk alloys were 96.7% and 95.5%, respectively. Compared with Fe84Nb7B9 alloy (muti-phase microstructure), Fe80Ti8B12 alloy was composed of superfine crystalline (50~200nm) of single phase α-Fe;(3) the magnetic properties of Fe80Ti8B12 bulk alloy σ(subscript s=198.6emu/g, H=54.6Oe were more excellent than that of Fe84Nb7B9 bulk alloy σ(subscript s=162.9emu/g, H=105.1G, it was related to the different phases formed during hot-press sintering and the grain size of nanocrystalline powder.

结果表明：(1)20hMA后，Fe84Nb7B9和Fe80Ti8B12均形成了单相bcc纳米晶过饱和固溶体，相对前者，后者纳米晶组织热稳定性明显提高，过饱和固溶体相分解温度略有降低；(2)在30MPa/900℃／0.5h热压条件下，Fe84Nb7B9和Fe80Ti8B12块体合金相对密度分别为96.7%和95.5%，相对前者，后者由超细晶(50~200nm)单相α-Fe组成；(3)Fe80Ti8B12块体合金软磁性能σ(下标 s=198.6emu/g，H＝54.6Oe明显高於Fe84Nb7B9块体合金σ(下标 s=162.9emu/g，H＝105.1Oe，此与纳米晶粉末在热压烧结过程中所形成相的种类和晶粒尺寸大小有关。

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。