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most citedHow one can repair non-integrable Kahan discretizations. II. A planar system with invariant curves of degree 6

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nlin.SI2021★ 2 cited

How one can repair non-integrable Kahan discretizations. II. A planar system with invariant curves of degree 6

Misha Schmalian, Yuri B. Suris, Yuriy Tumarkin

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-typ…