Integrable Hamiltonian Systems
Geometry, Topology, Classification
1st Edition
Published on 25. February 2004
752 pages
978-1-134-42899-1 (ISBN)
Description
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,
The authors,
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Mathematicians, theoretical physicists, graduate students in physics and mathematics, and mathematical physicists
Product notice
Reflowable
Illustrations
391 s/w Abbildungen, 23 s/w Tabellen
391 b/w images and 23 tables
ISBN-13
978-1-134-42899-1 (9781134428991)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
10/2019
1st Edition
CRC Press
€98.90
Shipment within 15-20 days
Book
02/2004
1st Edition
CRC Press
€275.80
Shipment within 15-20 days
Content
Basic Notions. The Topology of Foliations on Two-Dimensional Surfaces Generated by Morse Functions. Rough Liouville Equivalence of Integrable Systems with Two Degrees of Freedom. Liouville Equivbalence of Integrable Systems with Two Degrees of Freedom. Orbital Classification of Integrable Systems with Two Degrees of Freedom. Classification of Hamiltonian Flows on Two-Dimensional Surfaces up to Topological Conjugacy. Smooth Conjugacy of Hamiltonian Flows on Two-Dimensional Surfaces. Orbital Classification of Integrable Hamiltonian Systems with Two Degrees of Freedom. The Second Step. Liouville Classification of Integrable Systems with Two Degrees of Freedom in Four-Dimensional Neighborhoods of Singular Points. Methods of Calculation of Topological Invariants of Integrable Hamiltonian Systems. Integrable Geodesic Flows on Two-Dimensional Surfaces. Liouville Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces. Orbital Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces. The Topology of Liouville Foliations in Classical Integrable Cases in Rigid Body Dynamics. Maupertuis Principle and Geodesic Equivalence.
