Physics – Mathematical Physics
Scientific paper
2008-06-07
J.Phys.A38:6327-6334,2005
Physics
Mathematical Physics
8 pages
Scientific paper
10.1088/0305-4470/38/28/005
We examine the multiple Hamiltonian structure and construct a symplectic
realization of the Volterra model. We rediscover the hierarchy of invariants,
Poisson brackets and master symmetries via the use of a recursion operator. The
rational Volterra bracket is obtained using a negative recursion operator.
Agrotis Maria A.
Damianou Pantelis. A.
Marmo Giuseppe
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