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This article is cited in 5 scientific papers (total in 5 papers)
Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top
C. Morosia, G. Tondob a Politecnico di Milano
b University of Trieste
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.
Keywords:
Lagrange top, Hamiltonian formulation, separability.
Citation:
C. Morosi, G. Tondo, “Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top”, TMF, 137:2 (2003), 226–238; Theoret. and Math. Phys., 137:2 (2003), 1550–1560
Linking options:
https://www.mathnet.ru/eng/tmf268https://doi.org/10.4213/tmf268 https://www.mathnet.ru/eng/tmf/v137/i2/p226
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Abstract page: | 270 | Full-text PDF : | 177 | References: | 35 | First page: | 1 |
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