反抗者 发表于 2025-3-26 23:11:02
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.懒惰民族 发表于 2025-3-27 01:33:26
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似少年 发表于 2025-3-27 08:25:27
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纯朴 发表于 2025-3-27 09:43:43
https://doi.org/10.1007/978-94-010-2355-9systems of ordinary equations and in the partial differential equations . 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 .LITHE 发表于 2025-3-27 14:07:06
http://reply.papertrans.cn/43/4207/420636/420636_35.pngsigmoid-colon 发表于 2025-3-27 20:39:15
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越自我 发表于 2025-3-27 23:32:34
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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 stationNICHE 发表于 2025-3-28 07:57:42
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