Role of Discriminantly Separable Polynomials in Integrable Dynamical Systems

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dc.contributor.ISNI0000 0001 2315 7279 (Dragović, V)
dc.contributor.LCNA2011104913 (Dragović, V)en_US
dc.contributor.authorDragović, Vladimiren_US
dc.contributor.authorKukic, Katarinaen_US
dc.date.accessioned2015-02-12T23:26:40Z
dc.date.available2015-02-12T23:26:40Z
dc.date.created2013-11-21en_US
dc.date.issued2013-11-21en_US
dc.descriptionPublished conference proceding, 2013 November 21-24 in Timisoara, Romaniaen_US
dc.description.abstractDiscriminantly separable polynomials of degree two in each of the three variables are considered. Those polynomials are by definition polynomials which discriminants are factorized as the products of the polynomials in one variable. Motivating example for introducing such polynomials is the famous Kowalevski top. Motivated by the role of such polynomials in the Kowalevski top, we generalize Kowalevski's integration procedure on a whole class of systems basically obtained by replacing so called the Kowalevski's fundamental equation by some other instance of the discriminantly separable polynomial. We present also the role of the discriminantly separable polynomils in twowell-known examples: the case of Kirchhoff elasticae and the Sokolov's case of a rigid body in an ideal fluid.en_US
dc.description.sponsorshipSerbian Ministry of Science and Technological Development, Project 174020.en_US
dc.identifier.bibliographicCitationDragovic, Vladimir, and Katarina Kukic. 2014. "Role of discriminantly separable polynomials in integrable dynamical systems." AIP Conference Proceedings, 1634: 3-8.en_US
dc.identifier.issn0094-243Xen_US
dc.identifier.urihttp://hdl.handle.net/10735.1/4318
dc.identifier.volume1634en_US
dc.relation.urihttp://dx.doi.org/10.1063/1.4903006
dc.rights©2014 AIP Publishing LLCen_US
dc.sourceAIP Conference Proceedings
dc.subjectKowalevski topen_US
dc.subjectPolynomialsen_US
dc.subjectKirchhoff elasticaeen_US
dc.subjectDynamical systemsen_US
dc.titleRole of Discriminantly Separable Polynomials in Integrable Dynamical Systemsen_US
dc.type.genreArticleen_US

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