具有Holling Ⅲ类功能反应捕食者食脉冲系统正周期解的存在性

利用重合度理论中的连续性定理研究一类具有Holling Ⅲ类功能反应捕食者食脉冲系统正周期解的存在性, 建立了存在正周期解的充分条件, 推广 并改进了已有的相关结果.     

一类二阶非线性迭代微分方程的周期解

用更精确的先验估计及重合度理论研究一类二阶迭 代微分方程x¨(t)+g(x(x(t)))=f(t,x(t),x·(t))周期解的存在性, 得出了周期解存在的充分条件.     

多元零次有理插值的存在条件及算法

用构造性代数几何工具, 研究由 R^d中一组给定节点的信息构造节点子集上的多元零次有理插值函数, 给出了插值函数的存在条件及相应算法.     

混合方法优化的自适应引力搜索算法

针对引力搜索算法存在的易早熟收敛、易陷入局部最优、搜索精度有待提高等缺陷,提出一种混合方法优化的自适应引力搜索算法（gravitational search algorithm,GSA）。首先利用Sobol序列初始化种群,增强算法全局搜索能力;其次引入Hamming贴进度计算种群成熟度,判断种群是否早熟;然后引入Logistic混沌对种群作混沌搜索,变异已陷入局部最优的粒子位置;最后基于早熟收敛判断因子改进引力系数,并为粒子位置公式添加收缩因子,促使种群加快脱离局部最优。对9个不同类型的基准测试函数做仿真实验,结果表明新算法能有效改善种群的早熟问题,具备更好的寻优性能。     

n值标准序列逻辑系统中的近似推理理论

在n值标准序列逻辑系统中引入公式的真度概念,利用真度定义了公式间的相似度和伪距离并证明了真度推理规则,同时给出一种推理误差的定义,这就为进一步在n值标准序列逻辑系统中展开近似推理奠定了基础.     

锂离子电池失效的快速判定

通过锂离子单体电池的循环寿命实验,分析了该电池的充放电电流,电压以及内阻随循环次数的老化特性.研究发现,随着充放电次数的增加,电池在恒流阶段充入的容量占总容量的百分比的变化趋势和电池内阻变化相一致,因此可以根据恒流充电的时间来快速判定电池的衰减程度.     

Cladocera and Copepoda of Shokalsky Island: new data from northwest Siberia

Information on the freshwater fauna of the remote Arctic territories is very patchy, and most of the isolated islands of the Arctic Ocean remain absolutely unexplored. The pioneer data on the species composition of microcrustaceans of Shokalsky Island (northwest Siberia, Russia) is reported here. The initial three-year research revealed a total of 31 new for the area species of Cladocera and Copepoda, including new records for the whole of northwestern Siberia. Comparing the interannual differences in faunal composition, we suggested the hypothesis of the existence of a cryptic pool of species’ resting stages, which can invade the community in the event of favourable environmental conditions in the Arctic freshwaters. We also compiled all the available data from different parts of northern Siberia and compared them with the fauna of Shokalsky Island to analyse the connection between the diversity and distributional patterns of copepods and cladoceran species and the climate conditions of different territories.     

Mortality effects of temperature changes in the United Kingdom

Temperature changes are known to affect the social and environmental determinants of health in various ways. Consequently, excess deaths as a result of extreme weather conditions may increase over the coming decades because of climate change. In this paper, the relationship between trends in mortality and trends in temperature change (as a proxy) is investigated using annual data and for specified (warm and cold) periods during the year in the UK. A thoughtful statistical analysis is implemented and a new stochastic, central mortality rate model is proposed. The new model encompasses the good features of the Lee and Carter (Journal of the American Statistical Association, 1992, 87: 659–671) model and its recent extensions, and for the very first time includes an exogenous factor which is a temperature‐related factor. The new model is shown to provide a significantly better‐fitting performance and more interpretable forecasts. An illustrative example of pricing a life insurance product is provided and discussed.     

灰色关联度在甜高粱材料筛选中的应用

对甘肃省兰州市榆中县中试基地种植的11种甜高粱材料进行试验,以筛选出适合在兰州榆中地区种植的甜高粱材料。采用灰色关联度对材料的茎干鲜重、生物产量、茎杆平均含糖量进行分析,同时参考株高、穗长、穗颈长、物候期等指标,选定适合榆中地区不同用途的甜高粱材料。灰色关联度分析结果:茎秆鲜重、生物产量、茎秆平均含糖量三个指标中,茎秆平均含糖量灰色关联度最大,对结果影响最大;灰色综合评判排序显示08-2、2043、09-1、雅津43号分别排列前4位。08-2、2043、09-1、雅津43号综合表现最好,适合兰州榆中地区种植,可用于饲料生产和生物质能源储备种植。     

凝聚度——描述与测度社会生态系统抗干扰能力的一种新特性

研究一个网络系统抵抗干扰的能力,系统科学里有＂鲁棒性＂的概念,社会—生态系统里用＂脆弱性＂、＂恢复性＂和＂适应性＂等概念.这些已有的概念是否已经全面地描述了系统抵抗干扰的能力呢？在综合灾害风险管理的实践中,整个社会凝心聚力,行动协调一致,往往发挥着至关重要的决定性作用.然而,现有学术研究中所用到的各种系统属性,都不能很好表述一个系统凝心聚力的能力或水平.鉴于此,本文提出一种全新的网络系统属性：网络凝聚度（consilience degree）,专门用以度量一个如社会—生态系统一样行为的网络系统凝心聚力,行动协调一致,以抵抗干扰的能力.网络凝聚度实际上是一种更具普遍意义的＂联结度＂.它可以象联结度一样,派生发展出一系列的系统新属性和网络新模型,从而形成一个研究复杂系统的新的理论体系.本文将重点阐述这个体系的雏型.理论分析和仿真研究都证明：本文所提出的网络凝聚度是现有各种系统属性所无法涵盖或替代的,是研究现实复杂系统所必需的新理论工具.