The Gambier mapping

B. Grammaticos and A. Ramani

Physica A: Statistical Mechanics and its Applications, 1996, vol. 223, issue 1, 125-136

Abstract: We propose a discrete form for an equation due to Gambier and which belongs to the class of the fifty second order equations that possess the Painlevé property. In the continuous case, the solutions of the Gambier equation is obtained through a system of Riccati equations. The same holds true in the discrete case also. We use the singularity confinement criterion in order to study the integrability of this new mapping.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:223:y:1996:i:1:p:125-136

DOI: 10.1016/0378-4371(95)00213-8

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