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

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Dalila Boughaci,Louiza Slaouti,Kahina Achourator .(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.

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Thomas R. Roth-Berghofer,Daniel Bahls.. , ., 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 .(.) = ..

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Springer-Verlag Berlin Heidelberg 1992