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arXiv · 0906.2815

On non-QRT Mappings of the Plane

P. Kassotakis·N. Joshi
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Abstract

We construct 9-parameter and 13-parameter dynamical systems of the plane which map bi-quadratic curves to other bi-quadratic curves and return to the original curve after two iterations. These generalize the QRT maps which map each such curve to itself. The new families of maps include those that were found as reductions of integrable lattices.

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P. Kassotakis, N. Joshi. 2009-06-15. On non-QRT Mappings of the Plane. https://doi.org/10.1007/s11005-009-0360-1

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