Benettin, Giancarlo.

Hamiltonian Dynamics. Theory and Applications Lectures given at the C.I.M.E.-E.M.S. Summer School held in Cetraro, Italy, July 1-10, 1999 / [electronic resource] : by Giancarlo Benettin, Jacques Henrard, Sergei Kuksin. - XIV, 175 p. online resource. - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 1861 1617-9692 ; . - Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, 1861 .

A. Giorgilli: Preface -- G. Benettin: Physical Applications of Nekhoroshev Theorem and Exponential Estimates -- J. Henrard: The Adiabatic Invariant Theory and Applications -- S. Kuksin: Lectures on Hamiltonian Methods in Nonlinear PDEs.

ZDB-2-SMA ZDB-2-LNM

This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation.

9783540315414

10.1007/b104338 doi


Mathematics.
Differentiable dynamical systems.
Differential equations, partial.
Cell aggregation--Mathematics.
Thermodynamics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Partial Differential Equations.
Manifolds and Cell Complexes (incl. Diff.Topology).
Mechanics, Fluids, Thermodynamics.

QA313

515.39 515.48