Generalized Hamiltonian structures for Ermakov systems
نویسندگان
چکیده
منابع مشابه
Generalized Hamiltonian Structures for Ermakov Systems
We construct Poisson structures for Ermakov systems, using the Er-makov invariant as the Hamiltonian. Two classes of Poisson structures are obtained, one of them degenerate, in which case we derive the Casimir functions. In some situations, the existence of Casimir functions can give rise to superintegrable Ermakov systems. Finally, we characterize the cases where linearization of the equations...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2002
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/35/12/314