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Francesco Fassò 《Celestial Mechanics and Dynamical Astronomy》1995,62(1):43-69
This paper deals with Hamiltonian perturbation theory for systems which, like Euler-Poinsot (the rigid body with a fixed point and no torques), are degenerate and do not possess a global system of action-angle coordinates. It turns out that the usual methods of perturbation theory, which are essentially local being based on the construction of normal forms within the domain of a local coordinate system, are not immediately usable to study perturbations of these systems, since degeneracy makes impossible to control that the system does not fall into a singularity of the coordinates. To overcome this difficulty, we develop a global formulation of Hamiltonian perturbation theory, in which the normal forms are globally defined on the phase space manifold. The key for this study lies in the geometry of the fibration by the invariant tori of an integrable degenerate Hamiltonian system, which is described by some generalizations of the Liouville-Arnol'd theorem and is reviewed in the paper. As an application, we provide a global formulation of Nekhoroshev's theorem on the stability for exponentially long times. 相似文献
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球面退化四叉树格网的剖分及变形分析 总被引：1，自引：5，他引：1
为有效解决经纬度格网与四元三角网(QTM)在全球空间数据管理与操作中存在的不足,提出一种新的全球离散格网剖分方法——球面退化四叉树格网(DQG),给出该格网的剖分原理与编码规则,并对其进行几何变形计算与分析。结果表明:DQG既具有经纬度格网结构简单的特征,又具有QTM几何变形稳定等优点。 相似文献
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利用紧性理论，证明了扩散现象中出现的一类退缩抛物型方程组初边值问题解的存在性和唯一性。 相似文献
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Preliminary Study on Applicability of Microsatellite DNA Primers from Parasite Protozoa Trypanosoma cruzi in Free-living Protozoa 总被引：1，自引：0，他引：1
1 Introduction Generallyknownasacodominantgeneticmarker ,microsatellitehasbeenwidelyusedinstudiesonpopu lationgenetics,high resolutiongenotyping ,genemap ping ,evolution ,linkageanalysis ,conservationbiology ,behaviouralecology ,relationsbetweenparasite… 相似文献
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正1 Introduction Dunaliella Salina,which taxi Dunaliella,Volvocales,Chlorophyceae Chlorophyta,is unicell algae with double flagllum at top,and cup shaped chloroplast without cell wall.Dunaliella Salina is the most salt tolerance eucaryotes.It can grow at the range of salt concentration 相似文献
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Yi-Sui Sun Ji-Lin Zhou Tian-Ling Zhang Chong-Qing Cheng 《Celestial Mechanics and Dynamical Astronomy》1994,59(4):313-325
For the 3 : 1 Jovian resonance problem, the time scales of the two degrees of freedom of the resonant Hamiltonian are well-separated [5]. With the adiabatic approximation, the solution for the fast oscillations can be found in terms of the slowly varying variables. Thus the rapidly oscillating terms in the slow oscillation equations can be treated as forced terms. We refer to the resonance between the forcing and intrinsic frequencies as a forced secondary one in this paper. We discuss the forced secondary resonances in asteroidal motion at the 3 : 1 commensurability by using Wisdom's method. The results show that the orbits situated originally near the resonance will leave the neighbourhood of resonance and tend to the separatrices and critical points for different energies, respectively. We have not found any stochastic web as expected in this case. Moreover, we study the problem of validity on the approximation of a system.The Project Supported by the National Natural Science Foundation of China. 相似文献
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为了实现全球多分辨率地形快速、高效模拟与可视化表达,本文探讨了基于球面退化四叉树的全球多分辨率DEM无缝建模方法,主要内容包括：提出了一种基于球面退化四叉树的全球DEM分块建模方法;设计并实现了四叉树块内（相邻节点间相差任意剖分层次）、四叉树块间、四叉树与非四叉树块间的自适应无缝拼接算法;应用VC++语言和OpenGL工具,设计开发了相应的可视化实验系统,结果表明：该模型方法实现了全球多分辨率DEM的无缝表达,并在保证精度的同时有效简化了全球DEM格网的数目,简化效率为66.8%（剖分层次为12）。 相似文献
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Massimiliano Guzzo 《Celestial Mechanics and Dynamical Astronomy》2002,83(1-4):303-323
We describe a numerical application of the Nekhoroshev theorem to investigate the long-term stability of quasi-integrable systems. We extend the results of a previous paper to a class of degenerate systems, which are typical in celestial mechanics. 相似文献