myriad
发表于 2025-3-28 15:33:30
Everist Limaj,Edward W. N. Bernroider conservative, .∕. = 0, and periodic in both the unperturbed and perturbed case. In addition to periodicity, we shall require the Hamilton–Jacobi equation to be separable for the unperturbed situation. The unperturbed problem ..(..) which is described by the action-angle variables .. and .. will be
chapel
发表于 2025-3-28 19:52:08
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FILTH
发表于 2025-3-29 02:41:45
A Min Tjoa,Li Da Xu,Niina Maarit Novakpare the pertinent remarks about . as slow parameter in Chap. .) Accordingly, the Hamiltonian reads: . Here, . designates the “fast” action-angle variables for the unperturbed, solved problem . and the (.., ..) represent the remaining “slow” canonical variables, which do not necessarily have to be a
笨拙的你
发表于 2025-3-29 05:52:43
https://doi.org/10.1007/978-3-319-49944-4rs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.
一窝小鸟
发表于 2025-3-29 07:27:45
Ling Li,Li Xu,Wu He,Yong Chen,Hong Cheno-dimensional surface. If we then consider the trajectory in phase space, we are interested primarily in its piercing points through this surface. This piercing can occur repeatedly in the same direction. If the motion of the trajectory is determined by the Hamiltonian equations, then the . + 1-th p
Cardioplegia
发表于 2025-3-29 14:01:39
Hind Benfenatki,Frédérique Biennierconverges (according to Newton’s procedure) and thus the invariant tori are not destroyed. The KAM theorem is valid for systems with two and more degrees of freedom. However, in the following, we shall deal exclusively with the case of two degrees of freedom.
preeclampsia
发表于 2025-3-29 18:03:31
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frenzy
发表于 2025-3-29 19:56:11
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Ischemic-Stroke
发表于 2025-3-30 03:28:50
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思想灵活
发表于 2025-3-30 06:27:22
https://doi.org/10.1007/978-3-030-28003-1 ., ., are points in .-dimensional configuration space. Thus ..(.) describes the motion of the system, and . determines its velocity along the path in configuration space. The endpoints of the trajectory are given by ..(..) = .., and ..(..) = ...