复杂网络输出同步及稳定性分析

针对现实复杂网络系统的状态经常难以观测,甚至观测不到,而有时仅部分状态能达到同步就能满足需要的情况,讨论了复杂网络输出同步问题.首先提出了复杂网络的输出同步概念,然后考虑了输出矩阵为奇异和非奇异的两种情况下的稳定性问题,给出了输出达到同步的几个充分条件.最后给出算例表明了在不满足状态同步的情况下,可实现复杂网络系统输出同步.     

岩石边坡中地下水压力的基本特性及作用

基于对岩体边坡中地下水压力存在的基本类型，分布态势及作用形式等基本特征的研究，以三峡库区内部分滑坡及三峡工程永久船闸边坡为例分析了地下水压力对岩体边坡稳定性的影响，地下水压力（包括静水压力和动力压力）可使岩体边坡的整体安全系数大大降低，降低一般幅度为０．４￣０．７，基此认为，在改善和提高边坡稳定性中排水降压是较重要的工程治理措施之一。     

声发射技术和非线性理论在预报岩体失稳中的应用

以非线性理论为指导，建立了采场声发射监测预报的灰色突变模型，并给出了相应的计算机程序流程。最后，以某金矿的监测结果来验证该模型，证明是可行的。     

Chandrasekhar H-方程组的可积正解

把ＣｈａｎｄｒａｓｅｋｈａｒＨ方程推广到ＣｈａｎｄｒａｓｅｋｈａｒＨ方程组情形，得到了方程组适定的条件，并在此基础上研究了具有可积正解的必要充分条件和可积正解的稳定性，此外讨论了歧点．     

D算子中立型随机泛函微分方程的渐近稳定性

给出了D算子中立型随机泛函微分方程的随机渐近稳定性的充分条件,推广了文[1]中相应的结果。     

First principles study-D88 lattice stability of low-rate metalloid Ti5Si3

First principles study is reported for the band structures, site and angular momentum decomposed density of states, and the electronic charge density distributions in high-temperature structural materials D8₈-Ti₅Si₃ with the addition of low-rate metalloid: carbon, boron, nitrogen and oxygen. It shows that how the addition of metalloid atoms can stabilize Nowotny phase of Ti₅Si₃ from the viewpoint of the electron structure. Supported by the National Natural Science Fundation of China Hong Lihua: born in 1974, Graduate student     

Theoretical study on tetrazole and its derivatives (I)

Molecular geomitries and electronic structures of four chlorotetrazoles are calculated withab initio method at MP2/6-311G* * level. The results show that all the titled compounds are planar and aromatic. The skeletal bond lengths of the ring tend to be uniformized. Compared with 1-and 2-substituted chlorotetrazoles, 5-substituted chlorotetrazoles are more acidic and lower in total energy. 5-chloro-2H-tetrazole has the lowest energy and is the most stable.     

关于调和映照的两个不存在性定理

研究以复射影空间ＣＰ＾ｎ和四元数射影空间ＱＰ＾ｎ为始流形或靶流形的调和映照的稳定性，得到了两个不存在性定理。     

基于压气机三维彻体力模型的叶尖射流扩稳方法

为了分析转子叶尖射流对多级轴流压气机的扩稳作用，发展了轴流式压气机三维黏性彻体力模型，通过对ANSYS CFX 软件的二次开发，求解带动量源项和能量源项的N-S（Navier-Stokes）方程，实现了无叶片条件下的压气机全通道数值模拟。基于模型计算的Stage 35单级压气机压比特性与实验数据误差不大于0.8%，判断的失稳点流量比实验值大1.2%，对端壁边界层流动能够准确模拟。基于模型计算了无射流和有射流条件下的多级压气机特性和失稳边界，并分析了叶尖射流扩稳机理。结果表明，模型能够模拟叶尖射流对多级压气机的扩稳作用，在100%设计转速下，4.6%的设计点流量的射流流量带来了7.06%的稳定裕度增加，射流能够消除叶尖区域的堵塞流动，从而扩大了压气机的稳定工作裕度。     

Mixed monotone decomposition of dynamical systems with application

The notions of mixed monotone decomposition of dynamical systems are introduced. The fundamental idea is to make an elaborate use of the natural growth and decay mechanism inherent in the structure of a dynamical systems to decompose its dynamics into increase and decrease parts, and thereby to constitute an augmented dynamical system as the secalled “two-sided comparison system” of the original one. The corresponding two-sided comparison theorems show that the solution of the comparison system gives lower and upper bounds of that of the original system. Therefore, the properties of a dynamical system can be obtained through the study of its two-sided comparison system. Compared with the conventional comparison method in literature, the mixed monotone decomposition method developed herein takes in a natural way structural properties of dynamical systems into account instead of requiring strict conditions of (quasi-)monotonicity on them, and could yields refined, usually nonsymmetrical, state estimates, and thus is more suitable for systems with nonsymmetrical state constraints. As an application of the method, a sufficient condition is established for the global asymptotic stability of the trivial solution of a class of continuous-time systems with nonsymmetrical state saturation. The condition is given in terms of coefficients and state saturation levels of such systems, and contains as a special case a recent result on systems with symmetric state saturation in literature.