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dc.contributor.authorSchmalian, Misha
dc.contributor.authorSuris, Yuri B.
dc.contributor.authorTumarkin, Yuriy
dc.date.accessioned2021-12-15T11:10:17Z
dc.date.available2021-12-15T11:10:17Z
dc.date.issued2021-11-28
dc.date.submitted2021-07-07
dc.identifier.citationMathematical Physics, Analysis and Geometry, volume 24, issue 4, page 40
dc.identifier.issn1385-0172
dc.identifier.others11040-021-09413-2
dc.identifier.other9413
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/331457
dc.description.abstractAbstract: We find a novel one-parameter family of integrable quadratic Cremona maps of the plane preserving a pencil of curves of degree 6 and of genus 1. They turn out to serve as Kahan-type discretizations of a novel family of quadratic vector fields possessing a polynomial integral of degree 6 whose level curves are of genus 1, as well. These vector fields are non-homogeneous generalizations of reduced Nahm systems for magnetic monopoles with icosahedral symmetry, introduced by Hitchin, Manton and Murray. The straightforward Kahan discretization of these novel non-homogeneous systems is non-integrable. However, this drawback is repaired by introducing adjustments of order O(ϵ2) in the coefficients of the discretization, where ϵ is the stepsize.
dc.languageen
dc.publisherSpringer Netherlands
dc.subjectArticle
dc.subjectBirational maps
dc.subjectDiscrete integrable systems
dc.subjectElliptic pencil
dc.subjectRational elliptic surface
dc.subjectIntegrable discretization
dc.titleHow One can Repair Non-integrable Kahan Discretizations. II. A Planar System with Invariant Curves of Degree 6
dc.typeArticle
dc.date.updated2021-12-15T11:10:17Z
dc.identifier.doi10.17863/CAM.78911
dcterms.dateAccepted2021-10-28
rioxxterms.versionofrecord10.1007/s11040-021-09413-2
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidSuris, Yuri B. [0000-0001-9378-0314]
dc.identifier.eissn1572-9656
pubs.funder-project-iddeutsche forschungsgemeinschaft (TRR 109)


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