By Giancarlo Benettin,Jacques Henrard,Sergej B. Kuksin,Antonio Giorgilli

This quantity compiles 3 sequence of lectures on purposes of the idea of Hamiltonian structures, contributed by means of a number of the experts within the box. the purpose is to explain the cutting-edge for a few attention-grabbing difficulties, reminiscent of the Hamiltonian conception for infinite-dimensional Hamiltonian structures, together with KAM idea, the new extensions of the speculation of adiabatic invariants, and the phenomena on the topic of balance over exponentially lengthy instances of Nekhoroshev's idea. The books may well function a superb foundation for younger researchers, who will locate right here an entire and exact exposition of contemporary unique effects and lots of tricks for extra investigation.

**Read or Download Hamiltonian Dynamics - Theory and Applications: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999 (Lecture Notes in Mathematics) PDF**

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