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Singularity confinement for maps with the Laurent property

A. N. W. Hone
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Abstract

The singularity confinement test is very useful for isolating integrable cases of discrete-time dynamical systems, but it does not provide a sufficient criterion for integrability. Quite recently a new property of the bilinear equations appearing in discrete soliton theory has been noticed: the iterates of such equations are Laurent polynomials in the initial data. A large class of non-integrable mappings of the plane are presented which both possess this Laurent property and have confined singularities.

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A. N. W. Hone. 2006-03-30. Singularity confinement for maps with the Laurent property. https://doi.org/10.1016/j.physleta.2006.09.078

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