Completely integrable bi-Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Completely Integrable Bi-hamiltonian Systems
We study the geometry of completely integrable bi-Hamiltonian systems, and in particular, the existence of a bi-Hamiltonian structure for a completely integrable Hamiltonian system. We show that under some natural hypothesis, such a structure exists in a neighborhood of an invariant torus if, and only if, the graph of the Hamiltonian function is a hypersurface of translation, relative to the af...
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 1994
ISSN: 1040-7294,1572-9222
DOI: 10.1007/bf02219188