Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals
Peer reviewed, Journal article
Accepted version
Permanent lenke
https://hdl.handle.net/11250/2651890Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [2530]
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Originalversjon
10.1088/1751-8121/aafb1eSammendrag
Given a quadratic vector field on possessing a quadratic first integral depending on two of the independent variables, we give a constructive proof that Kahan's discretization method exactly preserves a nearby modified integral. Building on this result, we present a family of integrable quadratic vector fields (including the Euler top) whose Kahan discretization is a family of integrable maps.