On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top

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dc.creatorPetrera, Matteo
dc.creatorSuris, Yuri B.
dc.date2007-07-30
dc.date.accessioned2026-07-07T08:21:03Z
dc.date.available2026-07-07T08:21:03Z
dc.descriptionThis paper deals with a remarkable integrable discretization of the so(3) Euler top introduced by Hirota and Kimura. Such a discretization leads to an explicit map, whose integrability has been understood by finding two independent integrals of motion and a solution in terms of elliptic functions. Our goal is the construction of its Hamiltonian formulation. After giving a simplified and streamlined presentation of their results, we provide a bi-Hamiltonian structure for this discretization, thus proving its integrability in the standard Liouville-Arnold sense.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0707.4382
dc.identifierhttp://arxiv.org/abs/0707.4382
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135242
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn the Hamiltonian structure of Hirota-Kimura discretization of the Euler top
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