非线性层结与对流运动的稳定性

本文讨论了温度层结为普遍化三次分布情况下对流运动的分岔和突变特征,得到了一些有意义的结果,加深了我们对非线性对流运动特征的一些认识。     

磁层顶磁岛结构及其非线性行为

解析研究了磁层顶磁岛结构时间演化的非线性过程;推导出磁岛宽度的解析式和磁岛发生分叉、混沌的条件;论证了磁重联生成的磁岛有不稳定平衡结构,外扰作用会破坏该结构,使磁岛出现突变和混沌;说明了中小尺度太阳风脉动易使磁岛破碎,导致磁场湍动重联,形成小尺度结构．     

Resonant Periodic Orbits of Trans-Neptunian Objects

We study two and three-dimensional resonant periodic orbits, usingthe model of the restricted three-body problem with the Sun andNeptune as primaries. The position and the stability character ofthe periodic orbits determine the structure of the phase space andthis will provide useful information on the stability and longterm evolution of trans-Neptunian objects. The circular planarmodel is used as the starting point. Families of periodic orbitsare computed at the exterior resonances 1/2, 2/3 and 3/4 withNeptune and these are used as a guide to select the energy levelsfor the computation of the Poincaré maps, so that all basicresonances are included in the study. Using the circular planarmodel as the basic model, we extend our study to more realisticmodels by considering an elliptic orbit of Neptune and introducingthe inclination of the orbit. Families of symmetric periodicorbits of the planar elliptic restricted three-body problem andthe three-dimensional problem are found. All these orbitsbifurcate from the families of periodic orbits of the planarcircular problem. The stability of all orbits is studied. Althoughthe resonant structure in the circular problem is similar for allresonances, the situation changes if the eccentricity of Neptuneor the inclination of the orbit is taken into account. All theseresults are combined to explain why in some resonances there aremany bodies and other resonances are empty.     

静力平衡近似下大气中非线性对称运动的稳定性、分岔和突变

本文在考虑基本气流具有非线性切变情况下,导出了对称运动所满足的非线性常微分方程,并用非线性系统的稳定、分岔、突变理论,严格地讨论了非线性对称运动的稳定性、分岔和突变问题,获得了一个推广的对称不稳定判据,找到了突变产生的条件。     

SEDIMENT PROBLEMS AT DUJIANGYAN PROJECT

1. THE GEOGRAPHICAL ENVIRONMENT AND HISTORICAL PERSPECTIVE OF THEPROJECTIn the western part of Sichuan Basin, between the Longmen Mountain in the west and theLongquan Mountain in the southeast, lies an alluvial plain of 6500 kmZ formed by the Minjiang Riversystem known as the Chengdu Plain. With its mild climate (average annual temperature 16' 4 C ),fertile soils, rich water resources, and the densely interconnected system of Minjiang and TuojiangRivers, Chengdu …     

非线性动力系统理论与地貌学研究

非线性动力系统理论及其基本概念迅速地向地貌领域渗透和发展，使得愈来愈多的地貌学家运用ＮＤＳ的知识结构和思维方式认识地貌现象和地貌发展，许多地貌系统在时空上都显示出非线性或混沌的行为和方式。这些复杂性可能是地貌系统的不平衡、组成的多样和外界环境的变的结果。     

The significance of morphometric analysis for obtaining groundwater potential zones in a structurally controlled terrain

Watershed development and management plans are more important for harnessing surface water and groundwater resources in arid and semi-arid regions. To prepare a comprehensive watershed development plan, it becomes necessary to understand the topography, erosion status and drainage patterns of the region. This study was undertaken to determine the drainage characteristics of Pageru River basin using topographical maps on a scale of 1:50,000. The total area of the Pageru River basin is 480 km². It was divided into X sub-basins for analysis. The drainage patterns of the basin are dendritic and include a sixth order stream. The quantitative analysis of various aspects of a river basin drainage network characteristics reveals complex morphometric attributes. The streams of lower orders mostly dominate the basin. The development of stream segments in the basin area is more or less affected by rainfall. The elongated shape of the basin is mainly due to the guiding effect of thrusting and faulting. The erosional processes of fluvial origin have been predominately influenced by the subsurface lithology of the basin.     

地球表层系统非线性演化模式

本文运用结构、功能和历史相结合的系统方法,研究地球表层系统的环境、演化分期及各演化期的形成,提出一个强调突变在演化中起重大作用的地球表层系统非线性演化模式。     

ON THE USE OF MOVABLE-BED MODELS FOR RIVER PROBLEMS:A STATE-OF-THE-ART

I. INTRODUCTIONMore than a decade ago, under tile auspices of DELFT HYDRAULICS an overview on the use ofmodels for river problems was given (de Vries & van der Zwaard. 1975). Since then a better understanding of morphological processes in rivers has been obtained, their mathematical formulation hasbeen improved and computer facilities have been expended. Scale models and mathematical models arein use. but their field of application is gradually changing. It seems that the better ma…     

均匀介质中散射过程的奇性分析

本文比较详细地讨论和分析了均匀介质中零偏移距散射曲面拓扑奇性和相应回波解析奇性之间的关系和分类.其基础是衍射理论的Kirchhoff积分,原理是通过曲面几何函数的解析奇性和距离函数的拓扑奇性之间的联系.基本的数学工具是Morse理论和突变理论.