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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. (doi:10.1016/j.physleta.2006.09.078) (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) (KAR id:2310)

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
DOI/Identification number: 10.1016/j.physleta.2006.09.078
Subjects: Q Science > QC Physics
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Andrew Hone
Date Deposited: 19 Mar 2008 08:36 UTC
Last Modified: 16 Nov 2021 09:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/2310 (The current URI for this page, for reference purposes)
Hone, Andrew N.W.: https://orcid.org/0000-0001-9780-7369
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