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.

Show description

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

Similar differential equations books

Solution Techniques for Elementary Partial Differential Equations, Second Edition (Chapman Hall/CRC Mathematics Series)

Incorporating a few improvements, resolution recommendations for undemanding Partial Differential Equations, moment version provides essentially the most vital and regularly occurring equipment for fixing partial differential equations (PDEs). The ideas lined contain separation of variables, approach to features, eigenfunction enlargement, Fourier and Laplace adjustments, Green’s capabilities, perturbation tools, and asymptotic research.

The Universality of the Radon Transform (Oxford Mathematical Monographs)

Written through a number one pupil in arithmetic, this monograph discusses the Radon remodel, a box that has huge ranging purposes to X-ray expertise, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this e-book, Ehrenpreis makes a speciality of fresh examine and highlights the powerful courting among high-level natural arithmetic and functions of the Radon rework to components corresponding to clinical imaging.

Abstract Parabolic Evolution Equations and their Applications (Springer Monographs in Mathematics)

This monograph is meant to offer the basics of the speculation of summary parabolic evolution equations and to teach the way to follow to numerous nonlinear dif- sion equations and structures coming up in technology. the idea supplies us a uni? ed and s- tematic therapy for concrete nonlinear diffusion types.

Scientific Computing and Differential Equations: An Introduction to Numerical Methods

Clinical Computing and Differential Equations: An advent to Numerical tools, is a wonderful supplement to advent to Numerical equipment via Ortega and Poole. The booklet emphasizes the significance of fixing differential equations on a working laptop or computer, which includes a wide a part of what has turn out to be referred to as clinical computing.

Extra resources for 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)

Example text

Download PDF sample

Rated 4.06 of 5 – based on 30 votes