从时（空）系列数据研究地球化学作用的非线性动力学     

谭凯旋  张哲儒  刘荣高 《矿物岩石地球化学通报》1996,(2)

从时（空）系列数据研究地球化学作用的非线性动力学谭凯旋（中国科学院长沙大地构造研究所．长沙４１００１３）张哲儒，刘荣高（中国科学院地球化学研究所．贵阳５５０００２）关键词混沌吸引子，分维，时（空）系列数据，地球化学动力学近十多年来，人们已认识到地球化...  相似文献   

噪声通过混沌振子后统计特性的定性分析     

李月  郭华  唐方江  邓晓英  刘奔 《吉林大学学报(地球科学版)》2002,32(3):287-289

混沌振子对小信号的敏感性以及对噪声的免疫力，使它可以应用于微弱信号的检测。根据随机微分方程理论，对噪声经过混沌振子后的统计特性进行了定性分析，得出输出噪声为非平稳过程，而且该过程为循环平衡过程的结论，为实际应用提供理论指导。  相似文献   

LOCALIZED FEATURES OF CHAOTIC SYSTEM AND ATMOSPHERIC PREDICTABILITY          下载免费PDF全文

Li Zhijin  Ji Liren 《Acta Meteorologica Sinica》1995,9(4):432-444

The localized features on chaotic attractor in phase space and predictability are investigated in thepresent study.It will be suggested that the localized features in phase space have to be considered indetermining the predictability.The notions of the local instability including the finite-time and local-time instabilities which determine the growth rate of error are introduced,and the calculation methodsare discussed in detail.The results from the calculation of the 3-component Lorenz model show thatsuch instability,correspondingly the growth rate of error,varies dramatically as the trajectoriesevolve on the chaotic attractor.The region in which the growth rate of error is small is localizedconsiderably,and is separable from the region in which the growth rate is large.The localpredictability is of important interest.It is also suggested that such localized features may be the maincause for a great deal of case-to-case variability of the predictive skill in the operational forecasts.  相似文献   

Motion near the 3/1 resonance of the planar elliptic restricted three body problem     

Jacques Henrard  N.D. Caranicolas 《Celestial Mechanics and Dynamical Astronomy》1989,47(2):99-121

The global semi-numerical perturbation method proposed by Henrard and Lemaître (1986) for the 2/1 resonance of the planar elliptic restricted three body problem is applied to the 3/1 resonance and is compared with Wisdom's perturbative treatment (1985) of the same problem. It appears that the two methods are comparable in their ability to reproduce the results of numerical integration especially in what concerns the shape and area of chaotic domains. As the global semi-numerical perturbation method is easily adapted to more general types of perturbations, it is hoped that it can serve as the basis for the analysis of more refined models of asteroidal motion. We point out in our analysis that Wisdom's uncertainty zone mechanism for generating chaotic domains (also analysed by Escande 1985 under the name of slow Hamiltonian chaotic layer) is not the only one at work in this problem. The secondary resonance _p = 0 plays also its role which is qualitatively (if not quantitatively) important as it is closely associated with the random jumps between a high eccentricity mode and a low eccentricity mode.  相似文献   

Chaotic Scattering in the Restricted Three‐Body Problem II. Small mass parameters     

L. Benet  T. H. Seligman  D. Trautmann 《Celestial Mechanics and Dynamical Astronomy》1998,71(3):167-189

We study the scattering motion of the planar restricted three‐body problem for small mass parameters μ. We consider the symmetric periodic orbits of this system with μ = 0 that collide with the singularity together with the circular and parabolic solutions of the Kepler problem. These divide the parameter space in a natural way and characterize the main features of the scattering problem for small non‐vanishing μ. Indeed, continuation of these orbits yields the primitive periodic orbits of the system for small μ. For different regions of the parameter space, we present scattering functions and discuss the structure of the chaotic saddle. We show that for μ < μc and any Jacobi integral there exist departures from hyperbolicity due to regions of stable motion in phase space. Numerical bounds for μc are given. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

控制太阳活动的混沌吸引子(英)     

张勤 《天文学进展》1998,(1)

随着非线性科学研究的进展,可利用表征太阳活动的太阳活动指数组成的时间序列来寻找或许存在的太阳混沌吸引子,并计算其关联维数、最大Lyapunov指数以及其它特征量．文中综述了用非线性科学的某些概念来研究太阳活动的进展及其在太阳活动预报方面的一些应用．  相似文献   

Fourier analysis of local Lyapunov characteristic exponents for satellite-type motions     

E. Lohinger  C. Froeschlé 《Celestial Mechanics and Dynamical Astronomy》1993,57(1-2):369-372

For a binary star system with equal masses the transition from regular to stochastic motion has been determined by means of the Lyapunov Characteristic Numbers (LCN) in a paper of Gonczi and Froeschlé (1981), where the initial distance of the massless body to the second primary was used as parameter of integration. This time we analyse the Fourier spectra of the local LCNs (ln _k ⁱ ) of this system for different intervals of time.  相似文献   

基于神经网络的混沌时间序列预测   总被引：8，自引：0，他引：8  

许传华  任青文  房定旺 《水文地质工程地质》2003,30(1):30-32

应用混沌方法对时间序列观测数据进行处理,计算出最大lyapunov指数,得到最大可预报时间尺度。在此基础上,建立人工神经网络预测预报混沌时间序列的模型。结合实例,对该预测方法进行了计算验证。  相似文献   

相空间重构中时滞判定的功率谱分析法   总被引：1，自引：0，他引：1  

刘传孝  谭云亮  秦广鹏  吴子科 《岩土力学》2004,25(Z1):83-86

从再现系统原始信息和确定混沌关键指标角度,论证了相空间重构中时滞判定的重要性。构建基于时滞的时间序列自相关系数和自相关函数式,提出了时滞判定的功率谱方法。通过实际应用效果的比较,时滞判定的功率谱方法具有数据处理量较小和判别过程较稳定的优点,在一定程度上解决了Wolf方法确定Lyapunov指数鲁棒性较差的问题。  相似文献   

赤道东太平洋温度锋附近的混沌输运与混合     

姜华  吴德星  吕建 《中国海洋大学学报(自然科学版)》2002,32(2):165-172

运用 Mc Creary和 Yu(1992 )的非线性 2 12 层模式的积分流场 ,研究了混沌混合与输运对海水及要素浓度的输运和混合问题。模式结果显示混沌混合区主要分布于赤道东太平洋不稳定区及东、西边界附近 ,中西太平洋的大部分区域为非混沌区。释放在混沌区内的示踪团随时间的弥散过程要较非混沌区内的示踪团复杂的多。因多模态不稳定波动的共同作用 ,尤其是在赤道上经向运动最强的 Yanai波的加入 ,使得赤道不稳定区的流体以混沌混合的方式均匀地弥散开 ,趋向于粗粒 (coarse- grained)意义下的均匀化。并有大量释放于赤道东太平洋不稳定区的示踪质点越过赤道进入对面半球。背景辐散流的加入能将部分示踪点输送出混合区使其不加入均匀化过程 ,故最后混入另一半球的质点数少于半数。过赤道交换速率则主要由混沌混合的强度有关。  相似文献