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Item Details
Title: FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS WITH CRITICAL POINTS
By: Lev Lerman, Ya L. Umanskii
Format: Hardback

List price: £144.00


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ISBN 10: 0821803751
ISBN 13: 9780821803752
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1998
Series: Translations of Mathematical Monographs Reprint No. 176
Pages: 192
Description: Contains the topic of isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This book emphasises on the topology of this foliation rather than on analytic representation.
Synopsis: The main topic of this book is the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This is a first step towards understanding the global dynamics of Hamiltonian systems and applying perturbation methods. Emphasis is placed on the topology of this foliation rather than on analytic representation. In contrast to previously published works in this area, here the authors consistently use the dynamical properties of the action to achieve their results.
Illustrations: Illustrations
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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