Separable bi-Hamiltonian systems with quadratic in momenta first integrals

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dc.creatorBlaszak, Maciej
dc.date2003-12-11
dc.date2004-08-31
dc.date.accessioned2026-07-07T05:35:11Z
dc.date.available2026-07-07T05:35:11Z
dc.descriptionGeometric separability theory of Gel'fand-Zakharevich bi-Hamiltonian systems on Riemannian manifolds is reviewed and developed. Particular attention is paid to the separability of systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems. All such systems can be lifted to the Gel'fand-Zakharevich bi-Hamiltonian form.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/nlin/0312025
dc.identifierhttp://arxiv.org/abs/nlin/0312025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80622
dc.subjectExactly Solvable and Integrable Systems
dc.titleSeparable bi-Hamiltonian systems with quadratic in momenta first integrals
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