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The last remake of the Gambier mapping

We present a special discrete analogue of the Gambier coupled-Riccati system where the coupling is introduced in an additive way. We show that there exist choices of the parameters for which the singularities of the mapping are confined. Computing the continuous limit of the mapping we show that the resulting differential equation never possesses the Painlevé property. We present an explanation of this apparent paradox.
Year of publication:
2003
Authors: Lafortune, S. ; Ramani, A. ; Grammaticos, B.
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 317.2003, 3, p. 383-390
Publisher: Elsevier
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10010588807
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