Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top |
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| Authors: | Morosi C Tondo G |
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| Institution: | (1) Dipartimento di Matematica, Politecnico di Milano, P.za L. da Vinci 32, I-20133 Milan, Italy;(2) Dipartimento di Scienze Matematiche, Università di Trieste, via A. Valerio 12/1, I-34127 Trieste, Italy |
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| Abstract: | Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the reduction of the vector field and of the Poisson tensors. We show explicitly that after the reduction to each symplectic leaf, the vector field of the Lagrange top is separable in the Hamilton–Jacobi sense. |
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| Keywords: | Lagrange top Hamiltonian formulation separability |
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