dorsal/arxiv
View SchemaOn a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian
| Authors | C. Morosi, G. Tondo |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9811007 |
| URL | https://arxiv.org/abs/solv-int/9811007 |
| DOI | 10.1016/S0375-9601(98)00543-X |
| Journal | Phys. Lett. A 247 (1998), 59-64 |
Abstract
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero [J. Math. Phys. 37 (1996) 1735]) is both quasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the separability of these systems; the second one is obtained trough a non canonical map whose form is directly suggested by the associated Nijenhuis tensor.
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"abstract": "It is shown that a class of dynamical systems (encompassing the one recently\nconsidered by F. Calogero [J. Math. Phys. 37 (1996) 1735]) is both\nquasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the\nseparability of these systems; the second one is obtained trough a non\ncanonical map whose form is directly suggested by the associated Nijenhuis\ntensor.",
"arxiv_id": "solv-int/9811007",
"authors": [
"C. Morosi",
"G. Tondo"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(98)00543-X",
"journal_ref": "Phys. Lett. A 247 (1998), 59-64",
"title": "On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian",
"url": "https://arxiv.org/abs/solv-int/9811007"
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