一类三分子饱和反应动力系统的定性分析

研究化学反应中一类多分子一级饱和反应的数学模型应用微分方程定性理论,研究了该系统极限环的存在性、不存在性和唯一性问题。     

类V型微裂纹检测系统原理

报导了基于漏磁法,采用高信噪比的霍尔磁传感器及放大器,配以高精度的自动传动与光电定位装置,以及自行设计的信号采集与分析处理软件所构成的类V型微裂纹检测系统及其原理。该系统能对宽度在50μm及以下的微裂纹进行检测。     

The simplex method for integral multicommodity networks

The simplex method is interpreted as a labeling procedure for certain classes of multicommodity flow problems in a manner similar to that for single commodity networks. As opposed to general multicommodity algorithms, no explicit matrix inversion is required; all simplex operations are performed graph-theoretically.     

Differential-game examination of optimal time-sequential fire-support strategies

Optimal time-sequential fire-support strategies are studied through a two-person zero-sum deterministic differential game with closed-loop (or feedback) strategies. Lanchester-type equations of warfare are used in this work. In addition to the max-min principle, the theory of singular extremals is required to solve this prescribed-duration combat problem. The combat is between two heterogeneous forces, each composed of infantry and a supporting weapon system (artillery). In contrast to previous work reported in the literature, the attrition structure of the problem at hand leads to force-level-dependent optimal fire-support strategies with the attacker's optimal fire-support strategy requiring him to sometimes split his artillery fire between enemy infantry and artillery (counterbattery fire). A solution phenomnon not previously encountered in Lanchester-type differential games is that the adjoint variables may be discontinuous across a manifold of discontinuity for both players' strategies. This makes the synthesis of optimal strategies particularly difficult. Numerical examples are given.     

Force-annihilation conditions for variable-coefficient lanchester-type equations of modern warfare

This paper develops a mathematical theory for predicting force annihilation from initial conditions without explicitly computing force-level trajectories for deterministic Lanchester-type “square-law” áttrition equations for combat between two homogeneous forces with temporal variations in fire effectivenesses (as expressed by the Lanchester attrition-rate coefficients). It introduces a canonical auxiliary parity-condition problem for the determination of a single parity-condition parameter (“the enemy force equivalent of a friendly force of unit strength”) and new exponential-like general Lanchester functions. Prediction of force annihilation within a fixed finite time would involve the use of tabulations of the quotient of two Lanchester functions. These force-annihilation results provide further information on the mathematical properties of hyperbolic-like general Lanchester functions: in particular, the parity-condition parameter is related to the range of the quotient of two such hyperbolic-like general Lanchester functions. Different parity-condition parameter results and different new exponential-like general Lanchester functions arise from different mathematical forms for the attrition-rate coefficients. This theory is applied to general power attrition-rate coefficients: exact force-annihilation results are obtained when the so-called offset parameter is equal to zero; while upper and lower bounds for the parity-condition parameter are obtained when the offset parameter is positive.     

图的色数与亏格的相对独立性

本文先证明如下定理:“对于每一个非负整数p,亏格为p 的图的色数可以是任意整数m, 2≤m≤[7+(1+48p/2)].”然后,据此定理得结论:当m≥3,要找到m—色图的充分必要条件基本上是不可能的,即使不说根本不可能。     

导弹发射车抗毁伤能力分析与评估技术研究综述

现代战争日趋透明给导弹发射车战场生存带来了严峻挑战。围绕发射车的抗毁伤能力分析和评估技术,分析了发射车面临的毁伤威胁和毁伤作用机理,从抗毁伤能力评估应用的角度阐述了冲击波、动能、热和电磁四种毁伤类型的研究现状,提出了不同毁伤类型在抗毁伤能力分析和评估中的应用方向;基于易损性分析空间理论,总结了装备易损性分析的发展历程,认为从物理空间到性能空间的逻辑传递关系是现阶段发射车易损性分析的核心所在,并从物理判据、性能判据和分级标准介绍了易损性判据的研究动态,提出了发射车易损性判据的关键;明确阐述了发射车抗毁伤能力的研究概念和分析方法面临的主要问题,研究结论可以为导弹发射车抗毁伤能力分析和评估相关研究提供参考。     

矢量多边形并行栅格化数据划分方法

针对多边形并行栅格化中的负载不均衡问题提出一种新的数据划分方法,主要包括:迭代计算划分线的位置,在每次迭代中保证分块间的计算量大致均衡,完成数据划分、实现负载均衡;提出基于二叉树的划分结果融合策略,以解决跨边界多边形的融合问题。在多核CPU环境下实现并行算法,选用多个典型土地利用现状数据集进行测试。结果表明:针对不同类型多边形数据集,所提方法较传统方法可获得更高的并行加速比和更好的负载均衡;针对大数据量数据集,以多边形节点数为度量标准可更精确地估算分块计算量,从而更好地实现负载均衡。     

基于复杂网络的装备保障网络结构脆弱性分析

通过网络化实现装备保障一体化是装备保障体系建设的重点问题。在分析复杂网络脆弱性基本理论的基础上,通过定义装备保障网络中节点、边,构建了典型的装备保障网络拓扑结构模型,提出了装备保障网络的随机失效和蓄意攻击失效两种失效模式,并对两种失效模式下不同装备保障网络的结构脆弱性进行了仿真分析,为装备保障网络的构建以及防护策略的制定提供了科学的参考依据。研究结果表明:从防御角度而言,适当增加不同保障实体之间的交叉连接有助于提高装备保障网络的抗毁性;而从攻击角度而言,二次攻击则可有效提高攻击效率,以达到迅速瘫痪装备保障体系的目的。