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Titlebook: Hamiltonian Mechanics; Integrability and Ch John Seimenis Book 1994 Springer Science+Business Media New York 1994 Hamiltonian.Potential.bif

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31#
發(fā)表于 2025-3-26 23:11:02 | 只看該作者
https://doi.org/10.1007/978-3-030-87108-6n for n-degree-of-freedom Hamiltonian systems with a homogeneous potential, which justifies the validity of the singular point analysis. This criterion is based on Ziglin’s theorem, which will be reviewed extensively from the basic ideas.
32#
發(fā)表于 2025-3-27 01:33:26 | 只看該作者
The physics of disordered systems . and that the . vector satisfies a diophantine condition. Under suitable hypothesis of analyticity, there exists an analytic (time depending) change of coordinates, such that the new vector field is the sum of an autonomous part and a time dependent remainder. The remainder has an exponentially sm
33#
發(fā)表于 2025-3-27 08:25:27 | 只看該作者
https://doi.org/10.1007/978-94-011-5850-3ystems. The analysis of the singularities for the transformation which brings a complexified hamiltonian in normal form. extends to hamiltonian maps; bounds are provided by KAM techniques, but the exact location of the singularities and their nature remain unknown. Some heuristic information is prov
34#
發(fā)表于 2025-3-27 09:43:43 | 只看該作者
https://doi.org/10.1007/978-94-010-2355-9systems of ordinary equations and in the partial differential equations [1,2]. Here I shall show its effectivity by two examples of Hamiltonian systems. Indeed I prefer to study properties of arbitrary systems and to apply them to the Hamiltonian systems [3].
35#
發(fā)表于 2025-3-27 14:07:06 | 只看該作者
36#
發(fā)表于 2025-3-27 20:39:15 | 只看該作者
https://doi.org/10.1007/978-1-4899-2344-8fundamental..Due to their relatively small size, asteroids are mostly primordial (i.e. they have not been affected by geological processes) and therefore can give us essential information on the physical properties of the primitive matter in the solar system. Among asteroids, those belonging to the
37#
發(fā)表于 2025-3-27 23:32:34 | 只看該作者
38#
發(fā)表于 2025-3-28 05:28:43 | 只看該作者
https://doi.org/10.1007/978-3-031-15862-9We assume that the non-linearity . is of the form ., for some real valued function .. This equation can then be viewed as a Hamiltonian system with infinitely many degrees of freedom, and the problem of time periodic solutions is related to perturbation theory in the neighborhood of elliptic station
39#
發(fā)表于 2025-3-28 07:57:42 | 只看該作者
40#
發(fā)表于 2025-3-28 13:15:07 | 只看該作者
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