Download E-books The Geometry of Hamiltonian Systems: Proceedings of a Workshop Held June 5–16, 1989 PDF

By Malcolm R. Adams, Maarten Bergvelt (auth.), Tudor Ratiu (eds.)

The papers during this quantity are an outgrowth of the lectures and casual discussions that happened throughout the workshop on "The Geometry of Hamiltonian structures" which used to be held at MSRl from June five to sixteen, 1989. It was once, in a few feel, the final significant occasion of the year-long application on Symplectic Geometry and Mechanics. The emphasis of all of the talks was once on Hamiltonian dynamics and its courting to a number of elements of symplectic geometry and topology, mechanics, and dynamical structures quite often. The organizers of the convention have been R. Devaney (co-chairman), H. Flaschka (co-chairman), ok. Meyer, and T. Ratiu. the total assembly was once equipped round mini-courses of 5 lectures each one and a chain of 2 expository lectures. the 1st of the mini-courses was once given through A. T. Fomenko, who offered the paintings of his workforce at Moscow collage at the category of integrable structures. the second one mini­ direction used to be given by means of J. Marsden of UC Berkeley, who spoke approximately a number of purposes of symplectic and Poisson aid to difficulties in balance, general kinds, and symmetric Hamiltonian bifurcation conception. ultimately, the 2 expository talks got through A. Fathi of the college of Florida who targeting the hyperlinks among symplectic geometry, dynamical platforms, and Teichmiiller theory.

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