Plaque
发表于 2025-3-26 23:25:08
Jacobi Fields, Conjugate Points,particular, we want to investigate the conditions under which a path is a minimum of the action and those under which it is merely an extremum. For illustrative purposes we consider a particle in two-dimensional real space.
Ligament
发表于 2025-3-27 02:33:38
Action-Angle Variables,..) is the generator of a canonical transformation to new constant momenta .. (all .. are ignorable), and the new Hamiltonian depends only on the ..: . = . = .(..). Besides, the following canonical equations are valid:
FLORA
发表于 2025-3-27 08:38:42
Time-Independent Canonical Perturbation Theory, 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 assumed to be solved.
馆长
发表于 2025-3-27 10:27:45
Removal of Resonances,rs 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.
Lumbar-Stenosis
发表于 2025-3-27 17:30:51
http://reply.papertrans.cn/23/2272/227163/227163_35.png
Gourmet
发表于 2025-3-27 20:17:02
The KAM Theorem,..., ..) converges (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.
Toxoid-Vaccines
发表于 2025-3-27 22:01:20
http://reply.papertrans.cn/23/2272/227163/227163_37.png
Anticoagulant
发表于 2025-3-28 05:14:16
http://reply.papertrans.cn/23/2272/227163/227163_38.png
裂口
发表于 2025-3-28 07:36:54
http://reply.papertrans.cn/23/2272/227163/227163_39.png
GENUS
发表于 2025-3-28 11:41:20
Reluctant Reinforcement Learning..) is the generator of a canonical transformation to new constant momenta .. (all .. are ignorable), and the new Hamiltonian depends only on the ..: . = . = .(..). Besides, the following canonical equations are valid: