稳定性理论中的两个问题

本文讨论了吸引性与稳定性的关系,完善了稳定性的数学理论及应用一文中关于周期系统稳定与一致稳定等价的证明。     

Chemical attraction of the eastern yellowjacket,Vespula maculifrons (Hymenoptera: Vespidae)

Summary Workers and queens of the eastern yellowjacket,Vespula maculifrons, are attracted to the artificial long-range attractant pheromone of the predaceous pentatomid,Podisus maculiventris. A 11 mixture of linalool or -terpineol and (E)-2-hexenal is as attractive toV. maculifrons workers as the pheromone.We thank A.S. Menke of the Systematic Entomology Laboratory, USDA, for identifying the yellowjackets. Mention of a company name does not imply endorsement by the US Department of Agriculture.     

基于改进断裂点理论的机场吸引范围界定

合理界定机场吸引范围,是构建坚固民航运输网络的关键环节。现有的机场吸引范围界定方法,很少考虑与其衔接的地面交通网络,以及旅客出行偏好的影响。为提高机场吸引范围的实用性,本文以城市断裂点理论为基础,对其中的重要参数予以改进。首先,以综合交通运输为背景,指出发达的公路和铁路运输网络对民用机场具有很大的竞争与促进作用,并提出以地面交通出行时间为量化标准的吸引范围界定方法。然后,为分析旅客出行偏好的行为机理,针对于与机场衔接的地面交通网络来建立离散选择模型。其次,将研究区域的机场所在城市看作是一个整体,运用专家评价法和熵权法综合确定机场的吸引规模,并通过机场吞吐量与城市对外出行总量针对机场规模进行修正。最后,通过算例验证改进模型的实际可操作性,为确定多机场系统吸引范围界定提供新的思路和方法。     

外加电磁场对火焰结构及燃料燃烧特性的影响

燃料在电、磁场作用下的燃烧是一个新的跨学科性质的研究课题.它涉及磁流体发电、空间技术中电磁燃烧技术的应用以及能源与动力工程中能量转换与效率.本文从实验和理论两个方面,扼要地报导了碳氢燃料在外加磁场、电场影响下的火焰结构及其燃烧特性.把近年来我研究小组的主要研究结果汇总发表.     

关于人造天体运动轨迹确定的一种方法

作者在该文中,从万有引力定律出发,根据有心力的特点,再采用切坐标法很方便地推导出在地球万有引力作用下,人天体运动的轨道必是圆锥曲线,并指出由发射时初始条件能方便地进一步确定其轨迹的形状。     

Dissection of the pheromone-modulated flight of moths using single-pulse response as a template

The upwind flight of male moths to conspecific females is mediated by the chemical and structural characteristics of a pheromone plume. We describe the reaction of maleCadra cautella, the almond moth, to the interception of single pulses of sex pheromone, the smallest structural units of odour plumes. Following loss of a pheromone plume, males cast, that is fly a crosswind course without progressing upwind. The response of casting males to interception of a pulse of 0.25 s duration was, after a delay of 0.21±0.07 s, to turn and briefly fly straighter upwind, resulting in average net upwind displacements of 18 cm in a 50 cm s^–1 wind. Upwind progress in the single-pulse response was the result of steering more upwind and an increase in airspeed, although average ground speed remained unchanged. During the last third of the surge, males turned crosswind, returning to casting flight. These behavioural reactions to pheromone contact and loss support the phasic-tonic model of odour-modulated flight, in which an underlying tonic counterturning rhythm, expressed upon pheromone loss, is briefly overridden by phasic upwind surges, expressed upon interception of the pheromone filament. The surge portion of the cast-surge-cast response was diminished and more crosswind if individual pulses were shorter (0.02 s), probably due to sub-optimal contact with pheromone. The cast-surge-cast response to interception of a single 0.25 s pulse was used as a template to interpret the form of flight tracks in plumes of known structure. The template matched portions of flight tracks of males flying in plumes of low pheromone pulse frequency, thus reflecting the male's pattern of pulse encounter. In plumes ensuring a high frequency of pulse interception, only the upwind surge portion of the template was expressed, resulting in nearly straight upwind flight tracks. Similar nearly straight upwind flight tracks occurred in flights along plumes of low pulse frequency with large volume. Thus flight tracks of maleC. cautella to point sources of pheromone depend on both the frequency and the size of filaments encountered.     

逆极限空间转移同胚的吸引性

对紧度量空间上连续自映射的逆极限空间上转移胚分别给出了它的极小吸引中心和吸引子的一个特征性质。     

两类Lorenz型混沌模型的动力学行为研究

混沌系统的有界性是动力系统中的一个重要概念,在研究奇点的唯一性、奇点的全局渐近稳定性、奇点的全局指数稳定性、吸引子的李雅普诺夫维数、吸引子的豪斯道夫维数、周期解的存在性、周期解的控制等方面有着重要的应用;然而根据作者所知由于高阶混沌系统代数结构的复杂性,对高阶混沌系统有界性的研究是一件困难的事情;基于以上原因,将研究来自于数学物理模型中一类高阶混沌系统和一类三维洛伦兹型混沌系统的有界性;基于李雅普诺夫稳定性理论,证明了两个混沌系统的解是最终有界的;创新点在于不仅证明了两类混沌系统是最终有界的,而且分别给出了两类混沌系统最终有界集的一族解析表达式;研究结果为混沌系统在工程中的应用和电路设计提供了理论依据。     

黄果树、龙宫旅游区旅游者行为特征分析

本文通过实地调查,对前来黄果树、龙宫旅游的游客进行分析,主要包括了对旅游心理分析;旅游行为分析;游客背景分析等。揭示旅游者在旅游过程中的行为特征,找出两景区目前在开发经营中存在的主要问题,为经营管理部门规划决策提供科学依据,促进两区旅游业的发展。     

基于复杂网络理论的沪深A股分析

根据复杂网络理论,从一个新的角度分析沪深A股.对沪深A股构建复杂网络,计算网络的集聚系数和吸引率,得到不同行业的聚合强度及其对A股市场股价波动的影响程度.计算结果表明,金融股内部的聚合强度最大,行业内部股价波动更容易传播,股价波动对中国A股市场股价的波动影响最大.