Guaff豪情痛饮 发表于 2025-3-28 17:48:26
https://doi.org/10.1007/978-0-387-77956-0en value of the slow variables let the sub-system for the fast variables be completely integrable. The averaging method predicts that the “actions” of fast motion are approximate integrals of the original system — adiabatic invariants. The destruction of this adiabatic invariance due to passage through and capture into resonances is described.不吉祥的女人 发表于 2025-3-28 19:32:57
Lindstedt Series and Kolmogorov Theorem of the three body problem, , In modern language, , it is the generating function, that I call . here, . of the sequence of trigonometric polynomials associated with well known combinatorial objects, namely ..placebo-effect 发表于 2025-3-29 00:37:53
Hamiltonian Systems with Three Degrees of Freedom and Hydrodynamicsirst level is the ability to see and to use the analogies between different problems. The next level is constituted by the analogies between theories. And finally only can be considered as high class mathematicians those who are able to use analogies between analogies.RAG 发表于 2025-3-29 04:05:27
http://reply.papertrans.cn/43/4207/420641/420641_44.pnghankering 发表于 2025-3-29 08:45:05
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http://reply.papertrans.cn/43/4207/420641/420641_46.png可耕种 发表于 2025-3-29 16:34:07
http://reply.papertrans.cn/43/4207/420641/420641_47.png讥笑 发表于 2025-3-29 20:17:05
https://doi.org/10.1007/978-94-015-9692-3 perturbation algorithm. It is shown that the original Kolmogorov’s algorithm can be given the form of a constructive scheme based on expansion in a parameter. A careful analysis of the accumulation of the small divisors shows that it can be controlled geometrically. As a consequence, the proof of c秘方药 发表于 2025-3-30 02:42:49
https://doi.org/10.1007/978-981-10-3292-9ics of such systems are, in a precise sense, at least as complicated as those of the geodesic flow of the hyperbolic metric. The second part of the paper presents original results on autonomous Lagrangian systems on the two torus including a precise description of Mather’s beta function. Examples arbrother 发表于 2025-3-30 05:15:18
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