Singularity confinement for maps with the Laurent property

Hone, Andrew N.W. (2007) Singularity confinement for maps with the Laurent property. Physics Letters A, 361 (4-5). 341 -345. ISSN 0375-9601. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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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

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Physical Sciences
Depositing User: Andrew N W Hone
Date Deposited: 19 Mar 2008 08:36
Last Modified: 23 Jun 2014 08:40
Resource URI: https://kar.kent.ac.uk/id/eprint/2310 (The current URI for this page, for reference purposes)
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