Stellar Motions in Galactic Satellites     

Juan C. Muzzio  M. Marcela Vergne  Felipe C. Wachlin  Daniel D. Carpintero 《Celestial Mechanics and Dynamical Astronomy》2001,81(1-2):167-176

The study of the motions of the stars that belong to a galactic satellite (i.e. a globular cluster or a dwarf galaxy orbiting a larger one) has some similarities, as well as significant differences, with that of the restricted three-body problem of celestial mechanics. The high percentage of chaotic orbits present in some models is of particular interest because it rises, on the one hand, the question of the origin of those chaotic motions and, on the other hand, the question of whether an equilibrium stellar system can be built when the bulk of the stars that make it up behave chaotically.  相似文献   

On the successive elimination of perturbation harmonics     

Alessandro Morbidelli 《Celestial Mechanics and Dynamical Astronomy》1993,55(2):101-130

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Chaotic motion of comets in near-parabolic orbit: Mapping approaches     

Jie Liu  Yi-Sui Sun 《Celestial Mechanics and Dynamical Astronomy》1994,60(1):3-28

There exist many comets with near-parabolic orbits in the Solar System. Among various theories proposed to explain their origin, the Oort cloud hypothesis seems to be the most reasonable (Oort, 1950). The theory assumes that there is a cometary cloud at a distance 10³ – 10⁵ AU from the Sun and that perturbing forces from planets or stars make orbits of some of these comets become of near-parabolic type. Concerning the evolution of these orbits under planetary perturbations, we can raise the question: Will they stay in the Solar System forever or will they escape from it? This is an attractive dynamical problem. If we go ahead by directly solving the dynamical differential equations, we may encounter the difficulty of long-time computation. For the orbits of these comets are near-parabolic and their periods are too long to study on their long-term evolution. With mapping approaches the difficulty will be overcome. In another aspect, the study of this model has special meaning for chaotic dynamics. We know that in the neighbourhood of any separatrix i.e. the trajectory with zero frequency of the unperturbed motion of an Hamiltonian system, some chaotic motions have to be expected. Actually, the simplest example of separatrix is the parabolic trajectory of the two body problem which separates the bounded and unbounded motion. From this point of view, the dynamical study on near-parabolic motion is very important. Petrosky's elegant but more abstract deduction gives a Kepler mapping which describes the dynamics of the cometary motion (Petrosky, 1988). In this paper we derive a similar mapping directly and discuss its dynamical characters.  相似文献   

Improvement of S/N ratio of seismic data by hyperbolic filter algorithm     

Xue Hao  Yue Li  Baojun Yang 《世界地质(英文版)》2006,9(1)

This paper deals with the implementation of the hyperbolic filter algorithm for noise suppression of seismic data. Known the velocity of reflection event, utilizes the resemblance of reflection signal in each seismic trace, the hyperbolic filter algorithm is effective in enhance reflection event and suppress the random noise. This algorithm is used to CDP gathers also is compared with the algorithm of τ-p transform. Simulation shows the hyperbolic filter is effective and better than τ-p transform.  相似文献   

Conservative identification of nodal transmissivities: theory,computational experiments and application to the Rharb coastal aquifer (Morocco)     

B. EL MANSOURI  Y. LOUKILI  D. ESSELAOUI 《水文科学杂志》2013,58(3):377-389

Abstract

In order to calculate the transmissivity from the inverse problem corresponding to the groundwater flow in an isotropic horizontal aquifer, a numerical conservative approach is tested. The method deals with triangulation of the domain and applies the conservation of mass to elements of the mesh using the harmonic mean for internodal transmissivities. An optimal sweeping algorithm is used to evaluate nodal transmissivities from one element to another with a minimal relative error accumulation. The practical importance of the method is demonstrated through two synthetic examples representing those experienced in the field, then through application to a Moroccan aquifer. The computed hydraulic head is well fitted to the reference one, which confirms the validity of the identified transmissivity model.  相似文献   

A CPSO-SVM Model for Ultimate Bearing Capacity Determination     

Hong-bo Zhao  Shunde Yin 《Marine Georesources & Geotechnology》2013,31(1):64-75

In this study, the CPSO-SVM models, which combine chaotic system, particle swarm optimization (PSO) and support vector machine (SVM), are presented and applied to predict the ultimate bearing capacity of shallow foundations. Chaotic mapping enjoys certainty, ergodicity and the stochastic property. Chaotic PSO (CPSO) increases the convergence rate of PSO and precision of the results through introducing chaos mapping into the particle swarm optimization algorithm. Since the selection of parameters for SVM is crucial to its performance of prediction, the CPSO is adopted to search for the optimal parameters. The proposed methods are used to predict the ultimate bearing capacity of shallow foundations based on data of load tests. Results indicate that the proposed methods can appropriately describe the relationship between ultimate bearing capacity and its affective factors, and make good predictions.  相似文献   

模式气候吸引子信息约束下的动力协调初始化方法及其在ENSO预测中的应用     

孙丞虎  李维京 《气象学报》2009,67(6):1113-1123

为了改善模式初始场质量,减少初值与模式不协调对ENSO预测的影响,针对国家气候中心NCCo海-气耦合模式原初始化方案动力小协调的问题,从利用模式长期耦合模拟资料中的模式气候吸引子信息的角度出发,发展了一种获取观测资料中与模式相协调分量的信息重构方法,提出了一种模式气候吸引子信息约束下的动力协调初始化方案.对该方案回报检验的结果表明:通过反演NCCo海-气耦合模式模拟资料中的模式气候吸引子信息,有助于获取观测资料中与模式相协调的信息分量特征,实现了初始化过程中动力模式与所同化观测资料间的协调.这种基于信息重构方法的动力协调初始化方案,既可以延续原初始化方案利用观测信息较多的优势,又克服了原方案中观测资料和动力模式不协调的缺陷.这种新的初始化方案,消除了观测资料和模式不协调在初始场中产生的小尺度高频噪声,突出了与NCCo模式动力特征相适应的ENSO尺度信息.进而抑制了初始场中高频噪声所引起的快变预报误差的增长,提高了模式的预测技巧.  相似文献   

数值预报中自由度的压缩及误差相似性规律   总被引：4，自引：2，他引：2       下载免费PDF全文

郑志海  封国林  丑纪范  任宏利 《应用气象学报》2010,21(2):139-148

利用历史资料的有用信息提高数值模式预报水平是长期以来人们努力的目标。该文提出了一种在气候吸引子上缩小初始场自由度的相似选取方法,有效滤除了小尺度分量,避开了原有相似选取中自由度太大,相似选取困难的问题。分析表明:相似初值间的模式预报误差存在相似性,依此估计的预报误差与实际预报误差很接近。在空间分布特征上,相似初值间的模式预报误差也有很好的一致性。这为发展相似-动力方法,利用历史资料改进数值模式提供了支持。  相似文献   

基于改进的自适应反馈混沌系统同步     

李青芮  陶文华  孙娜 《华东地质学院学报》2009,32(3):293-297

基于LaSalle不变定理和Lyapunov方法,针对混沌系统同步问题提出了一种改进的自适应反馈方法。与一般线性反馈系统不同,这种方法能自动调整更新规则的可变反馈变量。在该自适应更新规则的控制下,反馈强度可自动调整到新的自适应规则,从而使响应系统的状态全局同步于驱动系统的状态。Chen氏混沌系统和Lu氏混沌系统说明了所设计的自适应反馈方法的有效性。  相似文献   

Spiral Structures and Chaotic Scattering of Coorbital Satellites     

Jacques Henrard  Juan F. Navarro 《Celestial Mechanics and Dynamical Astronomy》2001,79(4):297-314

The fractal nature of the transitions between two sets of orbits separated by heteroclinic or homoclinic orbits is well known. We analyze in detail this phenomenon in Hill's problem where one set of orbits corresponds to coorbital satellites exchanging semi-major axis after close encounter (horse-shoe orbits) and the other corresponds to orbits which do not exchange semi-major axis (passing-by orbits). With the help of a normalized approximation of the vicinity of unstable periodic orbits, we show that the fractal structure is intimately tied to a special spiral structure of the Poincaré maps. We show that each basin is composed of a few well behaved areas and of an infinity of intertwined tongues and subtongues winding around them. This behaviour is generic and is likely to be present in large classes of chaotic scattering problems.This revised version was published online in October 2005 with corrections to the Cover Date.  相似文献