num_pages: 0
description: This text grew out of notes from a graduate course taught to students in mathematics and mechanical engineering. The goal was to take students who had some basic knowledge of differential equations and lead them through a systematic grounding in the theory of Hamiltonian systems an introduction to the theory of integrals and reduction. Poincars continuation of periodic solution normal forms and applications of KAM theory. There is a special chapter devoted to the theory of twist maps and various extensions of the classic Poincar-Birkhoff fixed point theorem.
language: English
title: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
publisher: Springer