miscreant 发表于 2025-4-1 04:53:20
http://reply.papertrans.cn/23/2272/227162/227162_61.pngFerritin 发表于 2025-4-1 07:43:38
,Poincaré Surface of Sections, Mappings,o-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无政府主义者 发表于 2025-4-1 11:54:35
The KAM Theorem,ator .(θ., .) 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.