终点
发表于 2025-3-30 12:16:24
https://doi.org/10.1007/978-94-011-8117-4r value of .0. Then .(.) is a codimension 1 .∞ manifold. Given any codimension 1 .∞ manifold .0 .2., then .0 is a connected component of .(.), for some .∞ function .0 and . as regular value..Let . the Hamiltonian vectorfield associated to .0 and .0 such that ., and . the local Hamiltonian flow of .,
Hay-Fever
发表于 2025-3-30 14:02:11
https://doi.org/10.1007/978-981-19-3242-7irst 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.
牢骚
发表于 2025-3-30 17:05:41
https://doi.org/10.1057/9781137364593 is particularly useful for systems of 3 degrees of freedom and more. The frequency map dependence with time also allows refined estimates of the diffusion of the orbits in the frequency domain. Here are presented some applications of frequency map analysis to the special case of a quasi-periodic pe
esculent
发表于 2025-3-30 22:54:11
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Pepsin
发表于 2025-3-31 02:26:53
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investigate
发表于 2025-3-31 08:06:58
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 thro
绿州
发表于 2025-3-31 12:53:59
https://doi.org/10.1007/978-1-349-20083-2h the works of Wood and the author. The method is used for the solution of nonlinear differential equations and applies particularly in problems of galactic dynamics. Applications of the method in dynamical systems of physical, chemical or biological importance, are under consideration. The results
溺爱
发表于 2025-3-31 16:08:15
Splitting of Separatrices in Hamiltonian Systems and Symplectic Mapsrate the problem of the three bodies, expanding the solutions with respect to a small parameter, Poincaré noticed that the main obstruction was due to the possibility of transversal intersection of invariant manifolds that were coincident (separatrices) for the unperturbed integrable problem. To mea
逢迎白雪
发表于 2025-3-31 20:07:37
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 ..