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A Geometrical Description¶of the Discrete Painlevé VI and V Equations

✍ Scribed by A. Ramani; B. Grammaticos; Y. Ohta

Publisher
Springer
Year
2001
Tongue
English
Weight
114 KB
Volume
217
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

On a novel q-discrete analogue of the Pa
On a novel q-discrete analogue of the Painlevé VI equation
✍ B. Grammaticos; A. Ramani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 61 KB

We present the discrete, q-, form of the Painleve VI equation written as a three-point mapping and analyse the structure óf its singularities. This discrete equation goes over to P at the continuous limit and degenerates towards the discrete q-P VI V through coalescence. It possesses special solutio

Singularity confinement and algebraic en
Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
✍ Y. Ohta; K.M. Tamizhmani; B. Grammaticos; A. Ramani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 64 KB

We examine the validity of the results obtained with the singularity confinement integrability criterion in the case of discrete Painleve equations. The method used is based on the requirement of non-exponential growth of the homogeneous degree of the iterate of the mapping. We show that when we sta

Alternate discrete Painlevé equations fr
Alternate discrete Painlevé equations from limits of and
✍ T. Tamizhmani; B. Grammaticos; A. Ramani; K.M. Tamizhmani 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 196 KB

We study the special limits of discrete Painleve´equations belonging to the qÀP VI and dÀP V 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 Painleve´equations, usually of P VI but a