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11.
12.
Recently a method has been suggested to analyze the chaotic behaviour of a conservative dynamical system by numerical analysis of the fundamental frequencies. Frequencies and amplitudes are determined step by step. As the frequencies are not generally orthogonal, a Gramm-Schmidt orthogonalization is made and for each new frequency the old amplitudes of previously determined frequencies are corrected. For a chaotic trajectory variations of the frequencies and amplitudes determined over different time periods are expected. The change of frequencies in such a calculation is a measure of the chaoticity of the trajectory. While amplitudes are corrected, the frequencies (once determined) are constant. We suggest here simple linear corrections of frequencies for the effect of other close frequencies. The improvement of frequency determination is demonstrated on a model case. This method is applied to the first fifty numbered asteroids. 相似文献
13.
渗流域内应用拉普拉斯变换(LT)建立相应的有限分析(FAM)方程,顾及渗流域内地下水流的初始条件和边界条件,可在LT空间构成一个封闭的以水头像函数为变量的线性方程组。将此方程组所得的解,通过Stehfest数值反演公式,可归化为时间域的解(水头)。由于时间t被隐含在数值方程内,从而克服了传统数值法按时段(△t)逐步迭代的缺陷,提高了计算效率,也为用嵌入法建立地下水流管理模型提供了一条捷径。 相似文献
14.
The computation of electromagnetic (EM) fields, for 1-D layered earth model, requires evaluation of Hankel Transform (HT)
of the EM kernel function. The digital filtering is the most widely used technique to evaluate HT integrals. However, it has
some obvious shortcomings. We present an alternative scheme, based on an orthonormal exponential approximation of the kernel
function, for evaluating HT integrals. This approximation of the kernel function was chosen because the analytical solution
of HT of an exponential function is readily available in literature. This expansion reduces the integral to a simple algebraic
sum. The implementation of such a scheme requires that the weights and the exponents of the exponential function be estimated.
The exponents were estimated through a guided search algorithm while the weights were obtained using Marquardt matrix inversion
method. The algorithm was tested on analytical HT pairs available in literature. The results are compared with those obtained
using the digital filtering technique with Anderson filters. The field curves for four types (A-, K-, H-and Q-type) of 3-layer
earth models are generated using the present scheme and compared with the corresponding curves obtained using the Anderson
sc heme. It is concluded that the present scheme is more accurate than the Anderson scheme 相似文献
15.
利用1881~2002年我国东北地区的月、季降水资料,采用历史曲线分析、功率谱分析、小波变换等方法,重点分析了松花江流域和辽河流域降水的长期变化规律。结果表明:松花江流域和辽河流域的降水都存在着明显的年代际变化,松花江流域降水以27~30年周期为主,辽河流域降水周期比松花江流域略长,大概为35~38年左右。根据降水自身演变规律及自回归方法预测的结果,估计未来5~10年,松花江流域仍将处于少雨期,辽河流域少雨期维持时间可能会稍长一些。 相似文献
16.
Wavelet and quadrant analyses were applied to turbulent velocity data in order to investigate the transition from the anisotropy of energy-containing eddies to the isotropy of the inertial subrange scales. The quadrant analysis of the wavelet coefficients of longitudinal and vertical velocity components allows the evaluation of the velocity structure functions and the momentum cospectrum as a function of the separation distance and of the quadrants. In an isotropic condition the contribution both of ejections and sweeps (even quadrants), and both of reflections and deflections (odd quadrants), has to be equal. The analysis has shown that in neutrally stratified conditions the transition to isotropy occurs in a frequency range (0.2 < r/z < 3) usually referred to as internal to the inertial subrange (r is separation distance, z is height). In the transition region, as in the isotropic region, the velocity structure functions still agree with the 1941 and 1962 Kolmogorov theories; but on the other hand the structure functions of the even and odd quadrants are fitted by power laws of different slopes in the transition region. The proposed analysis allows the investigation within the transition region of the different dynamical structure in the energy transfer from the energy-containing scales to the isotropic scales. 相似文献
17.
A major earthquake (M=6.6) occurred on 21 June 2000, in South Iceland. This paper presents an unusual example of left-lateral strike-slip displacement recorded in a newly asphalted car park surface through a mechanically consistent pattern of open fissures and pressure ridges resulting from simple shear and rotation. Measurement of these features allows accurate reconstruction of the local deformation. The behaviour of the asphalt layer resembles that of analogue physical models, especially in terms of rotations induced by shear deformation. It is finally shown that through a wide range of scales some basic patterns associating rotation and opposite senses of strike-slip exist in the South Iceland Seismic Zone. 相似文献
18.
小波变换在少震、弱震区地下水位数据分析中的应用 总被引:12,自引:2,他引:12
利用小波变换和多尺度分析原理,对位于少震弱震区的湖南的具有不同变化形态的6口典型井4年的水位日均值序列进行了分析。结果显示,通过多尺度分析可以很方便地将水位日均值序列中的高频部分与低频部分分开,而且对不同井孔的含水层系统而言,分离出去的频率成分的主模是不同的,这反应出不同井孔的含水层系统对同一频率的响应存在差异,主模的频率反映了正常背景下井孔-含水层系统的优势频率。Morlet小波分析的结果对时间序列的突然变化和周期结构都有很好的反映。 相似文献
19.
HHT方法在地震工程中的应用之初步探讨 总被引:26,自引:0,他引:26
详细介绍了一种新的非线性、非平稳信号的处理方法-HHT,讨论了其有效性和优越性,简单介绍了其在地震工程中的应用前景,并利用HHT处理了地震工程中常用El Centro地震记录,得到了该记录的振幅-频率-时间分布特性,并将得到的边际谱与傅立叶谱做了对比。 相似文献
20.
We have developed a 2D isotropic continuous wavelet-like transform for a spherical surface. The transform is simply defined as the surface convolution between the original field and a kernel, based on the zeroth-order Bessel function with a spherical correction. This spherical correction violates the geometric similarity for the various scales of the kernels, which becomes more apparent at longer wavelengths. We found numerically that this transform is practically equivalent to a Gaussian bandpass filter in the spherical harmonic domain. We have applied this wavelet-like transform on the recently acquired Martian gravity and topography fields. Using a ratio constructed locally from these two fields, we have constructed a map describing the lateral variations of the localized admittance function on Mars. 相似文献