NANAJan 31, 2017

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

arXiv:1702.0028010 citationsh-index: 34
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For researchers in integrable systems and discrete dynamics, this provides new examples of integrable discretizations, though the result is incremental.

The paper identifies two classes of quadratic vector fields derived from reduced Nahm equations for which Kahan's discretization yields integrable mappings, expanding the known set of integrable Kahan discretizations.

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

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