FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS WITH CRITICAL POINTS by Lev Lerman, Ya L. Umanskii ( 9780821803752 )

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Title:

FOUR-DIMENSIONAL INTEGRABLE HAMILTONIAN SYSTEMS WITH CRITICAL POINTS

By:

Lev Lerman, Ya L. Umanskii

Format:

Hardback

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£144.00

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£129.60

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£14.40

ISBN 10:

0821803751

ISBN 13:

9780821803752

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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:

Imprint:

American Mathematical Society

Returns:

Returnable

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