dc.contributor.author | Celledoni, Elena | |
dc.contributor.author | Evripidou, Charalambos | |
dc.contributor.author | McLaren, David I. | |
dc.contributor.author | Owren, Brynjulf | |
dc.contributor.author | Quispel, G.R.W. | |
dc.contributor.author | Tapley, Benjamin Kwanen | |
dc.date.accessioned | 2023-03-15T07:39:50Z | |
dc.date.available | 2023-03-15T07:39:50Z | |
dc.date.created | 2022-11-28T09:41:31Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Journal of Computational Dynamics. 2022, 9 (4), 553-574. | en_US |
dc.identifier.issn | 2158-2505 | |
dc.identifier.uri | https://hdl.handle.net/11250/3058259 | |
dc.description.abstract | In this paper we use the method of discrete Darboux polynomials to calculate preserved measures and integrals of rational maps. The approach is based on the use of cofactors and Darboux polynomials and relies on the use of symbolic algebra tools. Given sufficient computing power, most, if not all, rational preserved integrals can be found (and even some non-rational ones). We show, in a number of examples, how it is possible to use this method to both determine and detect preserved measures and integrals of the considered rational maps, thus lending weight to a previous ansatz [2]. Many of the examples arise from the Kahan-Hirota-Kimura discretization of completely integrable systems of ordinary differential equations. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Institute of Mathematical Sciences | en_US |
dc.title | DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS | en_US |
dc.title.alternative | DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This is the authors' accepted manuscript to an article published by AIMS. The definitive publisher-authenticated version is available online at: 10.3934/jcd.2022014 | en_US |
dc.source.pagenumber | 553-574 | en_US |
dc.source.volume | 9 | en_US |
dc.source.journal | Journal of Computational Dynamics | en_US |
dc.source.issue | 4 | en_US |
dc.identifier.doi | 10.3934/jcd.2022014 | |
dc.identifier.cristin | 2082101 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |