0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Topology > Analytic topology

Buy Now

Integrable Hamiltonian Systems - Geometry, Topology, Classification (Paperback) Loot Price: R2,063
Discovery Miles 20 630
Integrable Hamiltonian Systems - Geometry, Topology, Classification (Paperback): A.V. Bolsinov, A.T. Fomenko

Integrable Hamiltonian Systems - Geometry, Topology, Classification (Paperback)

A.V. Bolsinov, A.T. Fomenko

 (sign in to rate)
Loot Price R2,063 Discovery Miles 20 630 | Repayment Terms: R193 pm x 12*

Bookmark and Share

Expected to ship within 9 - 15 working days

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, both of whom have contributed significantly to the field, develop the classification theory for integrable systems with two degrees of freedom. This theory allows one to distinguish such systems up to two natural equivalence relations: the equivalence of the associated foliation into Liouville tori and the usual orbital equaivalence. The authors show that in both cases, one can find complete sets of invariants that give the solution of the classification problem. The first part of the book systematically presents the general construction of these invariants, including many examples and applications. In the second part, the authors apply the general methods of the classification theory to the classical integrable problems in rigid body dynamics and describe their topological portraits, bifurcations of Liouville tori, and local and global topological invariants. They show how the classification theory helps find hidden isomorphisms between integrable systems and present as an example their proof that two famous systems--the Euler case in rigid body dynamics and the Jacobi problem of geodesics on the ellipsoid--are orbitally equivalent. Integrable Hamiltonian Systems: Geometry, Topology, Classification offers a unique opportunity to explore important, previously unpublished results and acquire generally applicable techniques and tools that enable you to work with a broad class of integrable systems.

General

Imprint: Crc Press
Country of origin: United Kingdom
Release date: October 2019
First published: 2004
Authors: A.V. Bolsinov • A.T. Fomenko
Dimensions: 234 x 156mm (L x W)
Format: Paperback
Pages: 748
ISBN-13: 978-0-367-39450-9
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
Books > Science & Mathematics > Mathematics > Topology > Analytic topology
Promotions
LSN: 0-367-39450-2
Barcode: 9780367394509

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Introduction to Symplectic Topology
Dusa McDuff, Dietmar Salamon Hardcover R3,824 Discovery Miles 38 240
Introduction to Banach Spaces and…
Graham Allan Hardcover R3,108 R2,865 Discovery Miles 28 650
Quantum Topology
Louis H. Kauffman, Michael P Thorman, … Hardcover R3,723 Discovery Miles 37 230
Hamiltonian Dynamics
Gaetano Vilasi Hardcover R3,129 Discovery Miles 31 290
Catastrophe Theory and Bifurcation…
Alan Wilson Paperback R1,275 Discovery Miles 12 750
Catastrophe Theory and Bifurcation…
Alan Wilson Hardcover R5,526 Discovery Miles 55 260
Integrable Hamiltonian Systems…
A.V. Bolsinov, A.T. Fomenko Hardcover R5,881 Discovery Miles 58 810
Differential Topology
Victor Guillemin, Alan Pallack Hardcover R1,905 Discovery Miles 19 050
Visual Complex Analysis - 25th…
Tristan Needham Paperback R1,604 Discovery Miles 16 040
Fractal Patterns in Nonlinear Dynamics…
Santo Banerjee, M K Hassan, … Hardcover R4,154 Discovery Miles 41 540
Singularities and Foliations. Geometry…
Raimundo Nonato Araujo dos Santos, Aurelio Menegon Neto, … Hardcover R6,325 Discovery Miles 63 250
Singularities in Geometry, Topology…
Jose Luis Cisneros-Molina, Dung Trang Le, … Hardcover R6,141 Discovery Miles 61 410

See more

Partners