dorsal/arxiv
View SchemaIntegrable discretizations of the Euler top
| Authors | A. I. Bobenko, B. Lorbeer, Yu. B. Suris |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9803016 |
| URL | https://arxiv.org/abs/solv-int/9803016 |
| DOI | 10.1063/1.532648 |
| Journal | J. Math. Phys., 1998, V. 39, p. 6668-6683. |
Abstract
Discretizations of the Euler top sharing the integrals of motion with the continuous time system are studied. Those of them which are also Poisson with respect to the invariant Poisson bracket of the Euler top are characterized. For all these Poisson discretizations a solution in terms of elliptic functions is found, allowing a direct comparison with the continuous time case. We demonstrate that the Veselov--Moser discretization also belongs to our family, and apply our methods to this particular example.
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"abstract": "Discretizations of the Euler top sharing the integrals of motion with the\ncontinuous time system are studied. Those of them which are also Poisson with\nrespect to the invariant Poisson bracket of the Euler top are characterized.\nFor all these Poisson discretizations a solution in terms of elliptic functions\nis found, allowing a direct comparison with the continuous time case. We\ndemonstrate that the Veselov--Moser discretization also belongs to our family,\nand apply our methods to this particular example.",
"arxiv_id": "solv-int/9803016",
"authors": [
"A. I. Bobenko",
"B. Lorbeer",
"Yu. B. Suris"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.532648",
"journal_ref": "J. Math. Phys., 1998, V. 39, p. 6668-6683.",
"title": "Integrable discretizations of the Euler top",
"url": "https://arxiv.org/abs/solv-int/9803016"
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