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Integrable Hamiltonian Systems Geometry by Bolsinov a V (27 results)
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Integrable Hamiltonian Systems : Geometry, Topology, Classification
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Integrable Hamiltonian Systems: Geometry, Topology, Classification
Published by Taylor & Francis Ltd, 2019
ISBN 10: 0367394502 ISBN 13: 9780367394509
Language: English
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Integrable Hamiltonian Systems : Geometry, Topology, Classification
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Integrable Hamiltonian Systems: Geometry, Topology, Classification
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Condition: New. pp. 752.
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1300grams, ISBN:9780415298056.
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£ 87.69
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1250grams, ISBN:9780415298056.
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£ 82.12
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Add to basketTaschenbuch. Condition: Neu. Neuware - This volume describes and fully illustrates both the theory and applications of integrable Hamiltonian systems. Exploring the basic elements of Liouville functions and their singularities, it systematically classifies such systems for the case of integrable Hamiltonian systems with two degrees of freedom. It also describes the nontrivial connections between this theory and three-dimensional topology and gives a topological description of the behavior of integral trajectories under Liouville tori bifurcation. Integrable Hamiltonian Systems: Geometry, Topology, Classification will appeal to graduate students of mathematics and mathematicians working in the theory of dynamical systems and their applications.
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£ 93.16
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Integrable Hamiltonian Systems: Geometry, Topology, Classification
Published by CRC Press 2004-02-25, 2004
ISBN 10: 0415298059 ISBN 13: 9780415298056
Language: English
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Integrable Hamiltonian Systems : Geometry, Topology, Classification
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Integrable Hamiltonian Systems : Geometry, Topology, Classification
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Integrable Hamiltonian Systems: Geometry, Topology, Classification
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Hardcover. Condition: Brand New. 1st edition. 752 pages. 9.25x6.25x1.50 inches. In Stock.
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Paperback. Condition: Brand New. 752 pages. 9.00x6.00x1.75 inches. In Stock. This item is printed on demand.
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Hardcover. Condition: Brand New. 1st edition. 752 pages. 9.25x6.25x1.50 inches. In Stock. This item is printed on demand.
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£ 251.46
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Add to basketBuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.
