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Some basic properties of infinite dimensional Hamiltonian systems

Chernoff, P. R. and Marsden, J. E. (1975) Some basic properties of infinite dimensional Hamiltonian systems. In: Géométrie symplectique et physique mathématique. Colloques internationaux du Centre national de la recherche scientifique. No.237. Éditions du C.N.R.S. , Paris, pp. 313-330. ISBN 222201784X.

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We consider some fundamental properties of infinite dimensional Hamiltonian systems, both linear and nonlinear. For exemple, in the case of linear systems, we prove a symplectic version of the teorem of M. Stone. In the general case we establish conservation of energy and the moment function for system with symmetry. (The moment function was introduced by B. Kostant and J .M. Souriau). For infinite dimensional systems these conservation laws are more delicate than those for finite dimensional systems because we are dealing with partial as opposed to ordinary differential equations.

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Additional Information:© 1975, Partially supported by NSF grants GP-30798X, GP-15735, and the University of California committee on research.
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Series Name:Colloques internationaux du Centre national de la recherche scientifique
Issue or Number:237
Record Number:CaltechAUTHORS:20101012-125924511
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20406
Deposited By: Ruth Sustaita
Deposited On:30 Nov 2010 18:04
Last Modified:03 Oct 2019 02:09

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