FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR_*     

Li Jianping  Chou Jifan 《Acta Meteorologica Sinica》1997,11(2):216-223

The equivalent operator equation is derived from the full primitive nonlinear equations of the atmospheric motion and the properties and physical senses of the operators are studied.In the infinite dimensional Hilbert space,the global asymptotic behavior of the atmosphere system with the non-stationary external forcing is studied under the assumption of the bounded external forcing.The existence theorems of the global absorbing set and the global attractor are obtained.Thus,the conclusions deduced from the large-scale atmosphere(Li and Chou 1996a;1996b) are extended to the general atmosphere.  相似文献   

The Effect of the Great Inequality on the Hecuba Gap     

Jacques Henrard 《Celestial Mechanics and Dynamical Astronomy》1997,69(1-2):187-198

The effects of the "great inequality" (the quasi-resonance between Jupiter and Saturn) on the motion in the 2/1 mean motion resonance with Jupiter (the Hecuba gap) is investigated. We confirm the proposition made by Ferraz-Mello and collaborators that the great inequality generates secondary resonances which are likely to produce the slow diffusion observed in numerical investigations. We identify, in the restricted three body problem, the frequencies responsible for these secondary resonances. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Chaotic Advection of the Shallow Kuroshio Coastal Waters   总被引：1，自引：0，他引：1  

Takuji Waseda  Humio Mitsudera 《Journal of Oceanography》2002,58(5):627-638

The shallow coastal water of the Enshu-Nada Sea (ENSW) recirculates regardless of whether the Kuroshio path is straight or has meanders. The recirculation is formed as a result of flow separation at the sharp coastline. The outputs of a recent numerical simulation of the Kuroshio current, including case of a short-term meander caused by an anticyclonic eddy, were analysed to track the motion of the ENSW. In contrast to the steady-flow cases, the unsteady cases showed that the ENSW discharges into the Kuroshio Extension region and intrudes further north into the Kuroshio-Oyashio confluence region due to chaotic advection. Two hyperbolic stagnation points of the velocity field characterise the transport paths; one south of the Izu peninsula and the other at the Kuroshio Extension. This mechanism exists even without the Ekman drift and may play an important role in the transportation of the fish eggs and larvae from the southern Japan spawning ground to the food abundant Kuroshio-Oyashio transition zone. This revised version was published online in August 2006 with corrections to the Cover Date.  相似文献   

Some observational results of sea storm current   总被引：3，自引：0，他引：3  

Xiu Richen  Liu Aiju  Ye Hesong  Gu Yuhe  Xu Lanying 《海洋学报(英文版)》2001,20(2):299-308

INTRODUCTIONDr. Hollister, a marine geologist of the Woods Hole Oceanographic Institution, firstpointed out that there was ocean storm current in the ocean. He found out the wavy texture inthe seabed core samples, and suggested that this wavy texture was caused by the high speedsea current in remote antiquity. He then suggested a bold hypothesis that there existed a benthic storm current near the ocean bottom, and presented this hypothesis at the IUGG confer-ence held at San Francisco…  相似文献   

Temporal scaling in river flow: can it be chaotic? / L’invariance d’échelle de l’écoulement fluvial peut-elle être chaotique?     

《水文科学杂志》2013,58(3)

Abstract

Abstract Identification of the presence of scaling in the river flow process has been a challenging problem in hydrology. Studies conducted thus far have viewed this problem essentially from a stochastic perspective, because the river flow process has traditionally been assumed to be a result of a very large number of variables. However, recent studies employing nonlinear deterministic and chaotic dynamic concepts have reported that the river flow process could also be the outcome of a deterministic system with only a few dominant variables. In the wake of such reports, a preliminary attempt is made in this study to investigate the type of scaling behaviour in the river flow process (i.e. chaotic or stochastic). The investigation is limited only to temporal scaling. Flow data of three different scales (daily, 5-day and 7-day) observed in each of three rivers in the USA: the Kentucky River in Kentucky, the Merced River in California and the Stillaguamish River in Washington, are analysed. It is assumed that the dynamic behaviour of the river flow process at these individual scales provides clues about the scaling behaviour between these scales. The correlation dimension is used as an indicator to distinguish between chaotic and stochastic behaviours. The results are mixed with regard to the type of flow behaviour at individual scales and, hence, to the type of scaling behaviour, as some data sets show chaotic behaviour while others show stochastic behaviour. They suggest that characterization (chaotic or stochastic) of river flow should be a necessary first step in any scaling study, as it could provide important information on the appropriate approach for data transformation purposes.  相似文献   

构造-流体-成矿作用的分形与混沌动力学   总被引：4，自引：2，他引：2  

谢焱石  谭凯旋  郝涛 《大地构造与成矿学》2010,34(3)

系统分析总结了构造活动与裂隙-脉体系统的分形生长,构造活动、流体作用及矿物沉淀之间的非线性反馈作用以及具分形结构与混沌特征的矿物沉淀和矿床的形成过程。以湘西金矿、水口山铅锌金多金属矿田等典型矿床为例,研究发现,水口山铅锌金多金属矿田地层及岩体内的元素含量分布均呈单分形关系,而断裂带内动性较强的Cu、Pb、Zn等成矿元素的元素具有双分形关系,产生了新的元素分布规律,指示断裂活动促进了成矿元素富集,湘西金矿石英脉是通过分形生长向着脉体长度-厚度分维值a值先减小(对应着脉体的膨胀)然后增大(对应着脉体的伸长)的趋势发展演化的,且该矿床各中段金品位空间变化序列均为非线性演化序列,其成矿流体的演化及成矿元素的沉淀富集成矿过程为混沌动力学过程。这些结果表明,构造-流体-成矿作用具有分形结构特征,并具体表现为断裂体系的分形分布,矿床的分形分布,裂隙-脉体系的分形分布和品位分布的分形变化等。成矿元素活化、迁移及沉淀的复杂动力学过程中,构造活动控制了裂隙-脉体系统的分形生长与矿床的就位,且存在于构造活动、流体作用及矿物沉淀之间的非线性反馈作用最终导致了具分形结构与混沌特征的矿物沉淀和矿床的形成。  相似文献   

Strange seismic attractor?     

Hugo Beltrami  Jean-Claude Mareschal 《Pure and Applied Geophysics》1993,141(1):71-81

Different time series were constructed from the data set containing all the seismic events recorded by the Parkfield network between 1969 and 1987. These series were analyzed to determine whether there exists an attractor in the phase space of the dynamical system characterizing seismic activity and to tentatively establish its dimension. The study has yielded ambiguous results. For all the time series analyzed, the dimension of the attractor appears higher than 12 and the correlation function of the seismic time series is undistinguishable from that of a series of random numbers of the same length. The lack of difference between the scaling parameters of two series suggests that, for all practical purposes, the seismic time series cannot be discriminated from a random series.  相似文献   

Solar wind-magnetosphere-ionosphere coupling and chaotic dynamics     

G. S. Lakhina 《Surveys in Geophysics》1994,15(6):703-754

Electromagnetic fields and currents connect various regions of the earth's near space environment extending upto the magnetopause. Realization of this fact has lead to the concept of Global Electric Circuit (GEC) to describe the electromagnetic environment of the earth's atmosphere. Solar wind - magnetosphere - ionosphere coupling forms a vital component of GEC. Magnetospheric substorms represent a global interaction between the solar wind, the magetosphere, and the ionosphere. This article gives an overview of the solar wind - magnetosphere- ionosphere coupling processes with emphasis on the nonlinear particle dynamics in the magnetotail. Those aspects of the substorm processes which involve the chaotic dynamics are highlighted. Various methods based on nonlinear particle dynamics, linear prediction filtering techniques, phase space reconstruction techniques, and dynamical anologue models of geomagnetic activity are reviewed. It is shown that the solar wind- magnetosphere - ionosphere system behaves as a strongly coupled nonlinear dynamical system which could be driven from regular to chaotic behavior with low dimensionality when the solar wind forcing is strong enough.  相似文献   

西太平洋副高活动指数的吸引子维数计算     

董兆俊  张韧 《热带气象学报》2006,22(4):400-404

基于NCEP／NCAR再分析资料计算出的西太平洋副高活动的三种特征指数，利用相空间重构方法对副高活动的三种特征指数的混沌特性和分数维进行了计算。计算结果表明，副高的短期活动存在混沌吸引子，副高脊线指数和面积指数动力系统的独立变量数目的上、下限分别为3和6，分析结果为副高动力系统的重构研究奠定了基础。  相似文献   

基于奇异值分解和小波阈值方法的地震资料处理方法     

HAO Xue LI Yue YANG Bao-jun .College of GeoExploration Science  Technology  Jilin University  Changchun  China .College of Communicate Engineering  Jilin University  Changchun  China 《吉林大学学报(地球科学版)》2006,(Z2)

奇异值分解是一种基于代数特征值的提取方法,小波变换是一种时间频率域的去噪方法,两者在去噪方面各有特点。将奇异值分解和小波阈值去噪的方法有机地结合起来,用于消除地震勘探资料中的随机噪声。仿真实验显示对于较低信噪比资料仍有很好的处理效果。  相似文献