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Titlebook: Hamiltonian Dynamical Systems; History, Theory, and H. S. Dumas,K. S. Meyer,D. S. Schmidt Conference proceedings 1995 Springer-Verlag New Y

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樓主: cobble
21#
發(fā)表于 2025-3-25 04:31:39 | 只看該作者
22#
發(fā)表于 2025-3-25 11:32:10 | 只看該作者
Factoring the Lunar Problem: Geometry, Dynamics, and Algebra in the Lunar Theory from Kepler to Claiaratus could get top-heavy. Tycho Brahe, for one was bothered by geometrical complication. Here is his theory (Fig. 1.1), developed during the 1590s, for the two main inequalities in the Moon’s longitude.
23#
發(fā)表于 2025-3-25 15:28:50 | 只看該作者
24#
發(fā)表于 2025-3-25 18:11:23 | 只看該作者
25#
發(fā)表于 2025-3-25 23:13:45 | 只看該作者
26#
發(fā)表于 2025-3-26 02:49:40 | 只看該作者
https://doi.org/10.1007/978-90-481-3009-2amical equations, the procedure synchronizes the motions of the perturbed system onto those of the unperturbed part. The method is most useful when the unperturbed part has solutions in non-elementary functions. Applications of the method are described.
27#
發(fā)表于 2025-3-26 06:36:50 | 只看該作者
28#
發(fā)表于 2025-3-26 12:13:10 | 只看該作者
29#
發(fā)表于 2025-3-26 16:12:30 | 只看該作者
https://doi.org/10.1007/978-94-011-9522-5[CL]). In the Poincaré compactification of some .-body problems the critical points which appear there are extremely degenerate. In this paper we focus our attention on generic properties of arbitrary Hamiltonian polynomial vector fields, especially at infinity.
30#
發(fā)表于 2025-3-26 20:45:23 | 只看該作者
https://doi.org/10.1007/978-1-349-19731-6 normal form techniques adapted to a slightly generalized version of the DiPerna-Lions theory of generalized flows for ODEs [5]. By specializing to the case of Hamiltonian vector fields, we obtain an interesting and somewhat surprising result for Hamiltonians of low regularity, as well as a reason for including this article in these proceedings.
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