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Integrable Hamiltonian systems : geometry, topology, classification

Author: A V Bolsinov; A T Fomenko
Publisher: Boca Raton, Fla. : Chapman & Hall/CRC, ©2004.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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, singularities, and topological invariants."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A V Bolsinov; A T Fomenko
ISBN: 0415298059 9780415298056
OCLC Number: 53840099
Language Note: Translated from the Russian.
Description: xv, 730 pages : illustrations ; 24 cm
Contents: Ch. 1. Basic notions --
Ch. 2. The topology of foliations on two-dimensional surfaces generated by Morse functions --
Ch. 3. Rough Liouville equivalence of integrable systems with two degrees of freedom --
Ch. 4. Liouville equivalence of integrable systems with two degrees of freedom --
Ch. 5. Orbital classification of integrable systems with two degrees of freedom --
Ch. 6. Classification of Hamiltonian flows on two-dimensional surfaces up to topological conjugacy --
Ch. 7. Smooth conjugacy of Hamiltonian flows on two-dimensional surfaces --
Ch. 8. Orbital classification of integrable Hamiltonian systems with two degrees of freedom. The second step.
Other Titles: Integriruemye gamilʹtonovy sistemy.
Responsibility: A.V. Bolsinov and A.T. Fomenko.
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Abstract:

This volume considers the theory and applications of integrable Hamiltonian systems. Basic elements of Liouville functions and their singularities is systematically described and a classification of  Read more...

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"This book provides an introduction to the problem of classification of integrable Hamiltonian systems. It presents, in a systematic way, a great deal of material previously available only in Read more...

 
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