The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement
type: Item
instance of: scholarly article
title: The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement
zbMATH Open document ID: 1057.39018
DOI: 10.1016/S0898-1221(03)00076-2
author: T. Tamizhmani
author: K. M. Tamizhmani
author: A. Ramani
author: B. Grammaticos
publication date: 2004-08-06T00:00:00Z
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 2082210
zbMATH Keywords: Painlevé equations
zbMATH Keywords: discrete systems
zbMATH Keywords: discrete integrability
zbMATH Keywords: singularity confinement
zbMATH Keywords: meromorphic functions
zbMATH Keywords: order and Nevanlinna theory
MaRDI profile type: Publication
cites work: Q4395059
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
cites work: Do integrable mappings have the Painlevé property?
cites work: Singularity analysis and integrability for discrete dynamical systems
cites work: Discrete versions of the Painlevé equations
cites work: Non-proliferation of pre-images in integrable mappings
cites work: On the extension of the Painlevé property to difference equations
cites work: Q4112233
cites work: Sur la dérivée des fonctions algébroïdes
cites work: Q4793486
cites work: Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
cites work: Self-duality and Schlesinger chains for the asymmetric \(\text{d-P}_{\text{II}}\) and \(\text{q-P}_{\text{III}}\) equations
cites work: Integrable mappings and soliton equations. II
cites work: Discrete Painlevé equations: coalescences, limits and degeneracies
cites work: A \(q\)-analog of the sixth Painlevé equation
cites work: Linearization and solutions of the discrete Painlevé III equation
cites work: Degeneration through coalescence of theq-Painlevé VI equation
cites work: On a novel \(q\)-discrete analogue of the Painlevé VI equation
cites work: Rational mappings, arborescent iterations, and the symmetries of integrability
cites work: Linearizable mappings and the low-growth criterion
cites work: Integrable systems without the Painlevé property
cites work: A new method to test discrete Painlevé equations.
full work available at URL: s0898-1221(03)00076-2
OpenAlex ID: W2071921550
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2082210