Hamiltonian Systems and Their Integrability

Hamiltonian Systems and Their Integrability
Author: Mich'le Audin
Publisher: American Mathematical Soc.
Total Pages: 172
Release: 2008
Genre: Mathematics
ISBN: 9780821844137


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"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebro-geometric methods related to Lax equations. This book would be suitable for a graduate course in Hamiltonian systems."--BOOK JACKET.


Hamiltonian Systems and Their Integrability
Language: en
Pages: 172
Authors: Mich'le Audin
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques i
Differential Galois Theory and Non-Integrability of Hamiltonian Systems
Language: en
Pages: 177
Authors: Juan J. Morales Ruiz
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and t
Integrable Hamiltonian Hierarchies
Language: en
Pages: 645
Authors: Vladimir Gerdjikov
Categories: Science
Type: BOOK - Published: 2008-06-02 - Publisher: Springer Science & Business Media

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This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soli
Integrable Hamiltonian Systems
Language: en
Pages: 752
Authors: A.V. Bolsinov
Categories: Mathematics
Type: BOOK - Published: 2004-02-25 - Publisher: CRC Press

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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
Symplectic Geometry of Integrable Hamiltonian Systems
Language: en
Pages: 225
Authors: Michèle Audin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. Th