The Geometry of Hamiltonian systems : proceedings of a workshop held June 5-16, 1989
著者
書誌事項
The Geometry of Hamiltonian systems : proceedings of a workshop held June 5-16, 1989
(Mathematical Sciences Research Institute publications, 22)
Springer-Verlag, c1991
- : New York
- : Berlin
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注記
Includes bibliographical references
"The workshop on 'The Geometry of Hamiltonian Systems' which was held at MSRI from June 5 to 16, 1989" -- Pref
内容説明・目次
- 巻冊次
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: New York ISBN 9780387976082
内容説明
The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems" which was held at MSRl from June 5 to 16, 1989. It was, in some sense, the last major event of the year-long program on Symplectic Geometry and Mechanics. The emphasis of all the talks was on Hamiltonian dynamics and its relationship to several aspects of symplectic geometry and topology, mechanics, and dynamical systems in general. The organizers of the conference were R. Devaney (co-chairman), H. Flaschka (co-chairman), K. Meyer, and T. Ratiu. The entire meeting was built around two mini-courses of five lectures each and a series of two expository lectures. The first of the mini-courses was given by A. T. Fomenko, who presented the work of his group at Moscow University on the classification of integrable systems. The second mini course was given by J. Marsden of UC Berkeley, who spoke about several applications of symplectic and Poisson reduction to problems in stability, normal forms, and symmetric Hamiltonian bifurcation theory. Finally, the two expository talks were given by A. Fathi of the University of Florida who concentrated on the links between symplectic geometry, dynamical systems, and Teichmiiller theory."
- 巻冊次
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: Berlin ISBN 9783540976080
内容説明
This collection of papers evolved from a workshop which emphasized Hamiltonian dynamics and its relation to various aspects of symplectic geometry and topology, mechanics, numerical simulations and dynamical systems. It includes a survey of the classification of integrable systems.
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