Four-dimensional Integrable Hamiltonian Systems with Critical Points (Translations of Mathematical Monographs) - Hardcover

Lerman, Lev; Umanskiy, Ya L.

Hardcover

ISBN 10: 0821803751 ISBN 13: 9780821803752

Publisher: American Mathematical Society, 1998

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1998
• Language: English
• ISBN 10: 0821803751
• ISBN 13: 9780821803752
• Binding: Hardcover
• Number of pages: 177