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Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation

dc.contributor.authorvan der Kamp, Peter H.
dc.contributor.authorCelledoni, Elena
dc.contributor.authorMclachlan, Robert, i
dc.contributor.authorMcLaren, David I.
dc.contributor.authorOwren, Brynjulf
dc.contributor.authorQuispel, Gilles Reinout Willem
dc.date.accessioned2020-04-21T11:38:42Z
dc.date.available2020-04-21T11:38:42Z
dc.date.created2018-09-23T08:57:25Z
dc.date.issued2019
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical. 2019, 52 (4), 1-10.en_US
dc.identifier.issn1751-8113
dc.identifier.urihttps://hdl.handle.net/11250/2651893
dc.description.abstractThree classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformationen_US
dc.description.abstractWe apply Kahan's discretisation method to three classes of 2D quadratic vector fields with quadratic, resp. cubic, resp. quartic Hamiltonians. We show that the maps obtained in this way can be geometrically understood as the composition of two involutions, one of which is a (linear) symmetry switch, and the other is a generalised Manin involution. Applications to 2D Suslov and reduced Nahm equations are included.en_US
dc.language.isoengen_US
dc.publisherIOPen_US
dc.relation.urihttps://arxiv.org/abs/1806.05917
dc.titleThree classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformationen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionacceptedVersionen_US
dc.source.pagenumber1-10en_US
dc.source.volume52en_US
dc.source.journalJournal of Physics A: Mathematical and Theoreticalen_US
dc.source.issue4en_US
dc.identifier.doi10.1088/1751-8121/aaf51e
dc.identifier.cristin1612449
dc.relation.projectNorges forskningsråd: 231632en_US
dc.description.localcodeThis is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A: Mathematical and Theoretical . IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1751-8121/aaf51een_US
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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