dc.contributor.author | van der Kamp, Peter H. | |
dc.contributor.author | Celledoni, Elena | |
dc.contributor.author | Mclachlan, Robert, i | |
dc.contributor.author | McLaren, David I. | |
dc.contributor.author | Owren, Brynjulf | |
dc.contributor.author | Quispel, Gilles Reinout Willem | |
dc.date.accessioned | 2020-04-21T11:38:42Z | |
dc.date.available | 2020-04-21T11:38:42Z | |
dc.date.created | 2018-09-23T08:57:25Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical. 2019, 52 (4), 1-10. | en_US |
dc.identifier.issn | 1751-8113 | |
dc.identifier.uri | https://hdl.handle.net/11250/2651893 | |
dc.description.abstract | Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation | en_US |
dc.description.abstract | We 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.iso | eng | en_US |
dc.publisher | IOP | en_US |
dc.relation.uri | https://arxiv.org/abs/1806.05917 | |
dc.title | Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 1-10 | en_US |
dc.source.volume | 52 | en_US |
dc.source.journal | Journal of Physics A: Mathematical and Theoretical | en_US |
dc.source.issue | 4 | en_US |
dc.identifier.doi | 10.1088/1751-8121/aaf51e | |
dc.identifier.cristin | 1612449 | |
dc.relation.project | Norges forskningsråd: 231632 | en_US |
dc.description.localcode | This 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/aaf51e | en_US |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |