Alternate discrete Painlevé equations from limits of q-PVI and d-PV

We study the special limits of discrete Painlevé equations belonging to the q-PVI and d-PV families, when the independent variable goes to 1 or 0, respectively. We obtain discrete systems which are shown to be either contiguities of solutions of continuous Painlevé equations, usually of PVI but also of the other Painlevé equations (except PI, which has no parameters and so no possibility of contiguity), or linearisable mappings.

MoreLess

Year of publication:	2006
Authors:	Tamizhmani, T. ; Grammaticos, B. ; Ramani, A. ; Tamizhmani, K.M.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 369.2006, 2, p. 463-474
Publisher:	Elsevier
Subject:	Painlevé equations \| Discrete systems \| Integrability \| Linearisable mappings

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010589660