Four-dimensional Integrable Hamiltonian Systems with Critical Points
Book Details
Format
Hardback or Cased Book
Book Series
Translations of Mathematical Monographs
ISBN-10
0821803751
ISBN-13
9780821803752
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Apr 30th, 1998
Weight
567 grams
Product Classification:
Calculus & mathematical analysisCalculus and mathematical analysisAnalytic topology
Ksh 25,400.00
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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.
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.
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