Titlebook: Classical and Quantum Dynamics; from Classical Paths Walter Dittrich,Martin Reuter Textbook 19921st edition Springer-Verlag Berlin Heidelbe

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Ferritin

,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

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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.