Two classes of quadratic vector fields for which the Kahan discretization is integrable

Elena Celledoni; Robert I. McLachlan; David I. McLaren; Brynjulf Owren; G. R. W. Quispel

Two classes of quadratic vector fields for which the Kahan discretization is integrable

Numerical Analysis 2017-02-02 v1

Authors: Elena Celledoni , Robert I. McLachlan , David I. McLaren , Brynjulf Owren , G. R. W. Quispel

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Abstract

Applying Kahan's discretization to the reduced Nahm equations, we obtain two classes of integrable mappings.

Cite

@article{arxiv.1702.00280,
  title  = {Two classes of quadratic vector fields for which the Kahan discretization is integrable},
  author = {Elena Celledoni and Robert I. McLachlan and David I. McLaren and Brynjulf Owren and G. R. W. Quispel},
  journal= {arXiv preprint arXiv:1702.00280},
  year   = {2017}
}