Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants.

The authors,

chapter 1|48 pages

Basic Notions

chapter 2|80 pages

Section 2.1. Simple Morse Functions

chapter 12|44 pages

Section 12.1. The Torus

chapter 13|30 pages

Section 13.1. Case of the Torus

chapter 16|18 pages

Section 16.1. Introduction