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

Zander, René

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.
Published in: European Journal of Mathematics, 10.1007/s40879-021-00479-4, Springer Nature