On the singularity structure of Kahan discretizations of a class of quadratic vector fields release_jvs4b2uaqje4ddim3ii6ce7pc4

by René Zander

Published in European Journal of Mathematics by Springer Science and Business Media LLC.

2021   p1046-1073

Abstract

<jats:title>Abstract</jats:title>We discuss the singularity structure of Kahan discretizations of a class of quadratic vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves.
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Date   2021-06-30
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