Reciprocal transformations for Stackel-related Liouville integrable systems

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dc.creatorBlaszak, Maciej
dc.creatorSergyeyev, Artur
dc.date2006-07-25
dc.date.accessioned2026-07-07T07:22:27Z
dc.date.available2026-07-07T07:22:27Z
dc.descriptionWe consider the Stäckel transform, also known as the coupling-constant metamorphosis, which under certain conditions turns a Hamiltonian dynamical system into another such system and preserves the Liouville integrability. We show that the corresponding transformation for the equations of motion is nothing but the reciprocal transformation of a special form and we investigate the properties of this transformation. This result is further applied for the study of the $k$-hole deformations of the Benenti systems or more general seed systems.
dc.description12 pages, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0607057
dc.identifierhttp://arxiv.org/abs/nlin/0607057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115664
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleReciprocal transformations for Stackel-related Liouville integrable systems
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