具有饱和项的互惠系统的分歧与稳定性

运用谱分析和分歧理论的方法,在齐次Dirichlet边界条件下,对具有饱和项的互惠系统的非负定态解的分歧及其稳定性进行研究.一方面,分别以生长率作为分歧参数,讨论了发自半平凡解的分歧;另一方面,以两物种的生长率作为分歧参数,利用Liapunov-Schmidt过程,研究了在二重特征值处的分歧;同时判定了这些分歧解的稳定性.     

PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS

In this article, the permanence and persistence for three classes time varying Lotka-Volterra ecological system are investigated by using Lyapunov stability analysis and constructing the compact set of attraction. Some examples are given to illustrate the theorems.     

Preparation of Ferrierite Zeolite Membranes in the Absence of Organic Structure-directing Agents

Zeolite membrane is an important category of inorganic membranes with many advantages such as thermal and chemical stability, high mechanical strength as well as the unique pore structure of molecular dimension. Up to now, many types of zeolite including …     

Stability of the Distribution in a Money Exchange Model

A nonlinear money exchange model is revised and a correct master equation is derived. The evolution of the distribution is studied from direct numerical and analytical calculations. The stability of the final steady state of the system is investigated. It is argued that the final distribution is valid for a group of conservative money exchange models.     

Characteristics of Period-Adding Bursting Bifurcation Without Chaos in the Chay Neuron Model

A period-adding bursting sequence without bursting-chaos in the Chay neuron model is studied by bifurcation analysis. The genesis of each periodic bursting is separately evoked by the corresponding periodic spiking patterns through two period-doubling bifurcations, except for the period-1 bursting occurring via Hopf bifurcation. Hence,it is concluded that this period-adding bursting bifurcation without chaos has a compound bifurcation structure closely related to period-doubling bifurcations of periodic spiking in essence.     

截断光束的广义M2因子

使用渐近分析法、广义截断二阶矩法和自收敛束宽法研究了旋转对称截断光束的广义M2因子，分析了这三种方法的物理联系以及如何惟一确定广义M2因子问题，并用数值计算结果做了说明. 关键词： 广义M2因子 渐近分析 广义截断二阶矩法 自收敛束宽     

Quasielastic Scattering of the Halo Nucleus ^6He at 25 MeV／u from a ^9Be Target

The differential cross sections of quasielastic scattering of a 25 MeV/u ^6He from ^9Be target have been measured.The double-folding model approach is applied to generate the real part of the optical potential. The imaginary potential parameters as well as some of the real potential parameters are studied in comparison with the experimental data. The effect of the unstable nucleus is discussed.     

三苯甲基自由基及其二聚体稳定性的理论研究

采用量子化学AM1 MO方法优化了三苯甲基自由基及其两种二聚体的构型，并计算了反应物和二聚物的生成焓、活化能以及它们的电荷布居，计算结果表明，三苯甲基自由基是一种较稳定的自由基，在这个自由基中存在明显的共轭效应，分子中电子云呈平均化分布．它的二聚体1，4—环己二烯衍生物分子中的5个苯基排布在环己二烯环平面的两端，明显降低了苯基之间的空间排斥力，使二聚物—环己二烯衍生物分子的稳定性大大高于六苯乙烷．因此，三苯甲基自由基的二聚体是1，4—环己二烯衍生物而不是六苯基乙烷，得到了与实验事实一致的结果。     

运用二维相关红外光谱分析技术研究芦丁的热微扰过程

采用傅里叶变换红外光谱法(FTIR)和二维相关分析(2D correlation analysis)技术研究了固态芦丁20℃～160℃的升温过程。实验结果显示，芦丁红外光谱的特征峰在红外图上随着温度升高变化不明显，说明实验中芦丁分子没有发生氧化反应。借助于二维相关分析，提高了谱图的分辨率，将芦丁分子中不同苯环的骨架振动峰在二维同步图上显示并区分开来。同时还揭示了芦丁分子内各官能团之间的相互作用，反映了在热微扰过程中这些基因之间的协同关系和变化的先后顺序。分析结果表明；芦丁分子中两个苯环，杂环的C=O及=C-O-C基因发生了相互作用。其变化的顺序是和含氧杂环相连的苯环，C=O，=C-O-C和含氧杂环相并的苯环。此结论与芦丁的氧化反应机理相一致。总之，二维相关红外分析可以作为研究芦丁热微扰过程中结构动态变化的一种新方法，也为芦丁在氧化过程中的机理研究提供了一个重要的理论依据。     

具有时滞的非自治的捕食-食饵系统的全局吸引

考虑一个具有离散时滞的非自治的捕食—食饵系统。系统是由3种群组成的，其中一个为捕食者，另两个为食饵种群。本文的目的是给出时滞对系统的持续生存是无害的，从而确定了系统的周期解全局吸引的条件。