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   

Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems     

贾立新  戴浩  惠萌 《海洋学报(英文版)》2010,29(11)

This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems. Based on Lyapunov stability theory and numerical differentiation, a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems. Numerical simulation results are presented to illustrate the effectiveness of this method.  相似文献   

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赵卿  李潇  徐进军  宓天跃 《大地测量与地球动力学》2008,28(2):115-119

????????????????????г?????????????????μ?????????-??????????????????????????????????????????????????????????????????????????????????????????????????????????С????????????????н???????г????????????????????Ч????á?  相似文献   

Characteristics Of Chaotic Attractors In Atmospheric Boundary-Layer Turbulence   总被引：3，自引：1，他引：3  

Li Xin  Hu Fei  Liu Gang 《Boundary-Layer Meteorology》2001,99(2):335-345

In this paper, the attractors of turbulent flows in phase space are reconstructed by the time delay technique using observed data of atmospheric boundary-layer turbulence, which include high resolution temperature, humidity andthree-dimensional wind speed measurements in Gansu province and Beijing, China. The correlation dimensions and largest Lyapunov exponents have been computed. The results indicate that all the largest Lyapunov exponents in different conditions of time, site and atmospheric stability are greater than zero. This means that the atmospheric boundary-layer turbulence system is really chaotic and has appropriate low-dimensional strange attractors whose dimension numbers range from 3 to 7 and vary with different variables (dynamical variables or non-dynamical variables) and atmospheric stability. Turbulent kinetic energy is first applied to reconstruct the attractor of turbulence, and is found to be feasible.  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   

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   

用于检测同相轴的Duffing型系统恢复力项的讨论          下载免费PDF全文

赵雪平  李月  杨宝俊 《地球物理学进展》2006,21(1):61-69

在用于检测同相轴的Duffing型系统中,非线性恢复力项的选取至关重要.针对具有不同非线性恢复力项的混沌系统,本文首先就非线性恢复力项的来源进行了说明,通过对哈密顿系统和耗散系统的仿真实验分析,以及理论推导,确定了势能—哈密顿多项式方程中可用于混沌振子检测系统的各项幂次和各项系数组合关系,即非线性恢复力项的选取规则:幂次最高项为奇次,其系数大于零.  相似文献   

Chaotic behaviour in a low-order unforced,inviscid barotropic model     

Charles A. Lin  Bong H. Lian 《Pure and Applied Geophysics》1986,124(6):1087-1105

A low-order model of the unforced, inviscid barotropic model is examined as a dynamical system. Analytic solutions, consisting of linear and nonlinear oscillations (Rossby waves), are obtained in appropriate limiting initial conditions. These solutions are periodic. With less restrictive initial conditions the system shows quasi-periodic behaviour at low energies and chaotic behviour at high energies. This transition is accompanied by frequency-locking and period-doubling. Quasi-periodic and chaotic behaviour may coëxist in phase space for the same values of the model invariants. The results are interpreted in terms of perturbed integrable Hamiltonian systems. Considerations of the low-frequency variability of the atmosphere are also made.  相似文献   

Numerical results to the Sitnikov-problem     

R. Dvorak 《Celestial Mechanics and Dynamical Astronomy》1993,56(1-2):71-80

We present numerical results of the so-called Sitnikov-problem, a special case of the three-dimensional elliptic restricted three-body problem. Here the two primaries have equal masses and the third body moves perpendicular to the plane of the primaries' orbit through their barycenter. The circular problem is integrable through elliptic integrals; the elliptic case offers a surprisingly great variety of motions which are until now not very well known. Very interesting work was done by J. Moser in connection with the original Sitnikov-paper itself, but the results are only valid for special types of orbits. As the perturbation approach needs to have small parameters in the system we took in our experiments as initial conditions for the work moderate eccentricities for the primaries' orbit (0.33e _primaries 0.66) and also a range of initial conditions for the distance of the 3 ^rd body (= the planet) from very close to the primaries orbital plane of motion up to distance 2 times the semi-major axes of their orbit. To visualize the complexity of motions we present some special orbits and show also the development of Poincaré surfaces of section with the eccentricity as a parameter. Finally a table shows the structure of phase space for these moderately chosen eccentricities.  相似文献   

基于一类离散动力系统的混沌加密研究     

刘建生  傅惠 《华东地质学院学报》2003,26(2):136-138

研究了一类具有良好隐蔽性的一元三次离散动力系统的混沌序列产生情况，提出了混沌序列的异或和置乱加密算法。实验结果证明，该系统所生成的混沌序列有密钥复杂、安全性较高的特点，具有推广应用的价值。  相似文献