Four-dimensional Integrable Hamiltonian Systems with Critical Points

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A01=American Mathematical Society
Author_American Mathematical Society
Category=PBK
Category=PBPH
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Product details

  • ISBN 9780821803752
  • Weight: 567g
  • Publication Date: 30 Apr 1998
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Hardback
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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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