UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Singularity confinement in delay-differential Painleve equations

Stokes, A; (2020) Singularity confinement in delay-differential Painleve equations. Journal of Physics A: Mathematical and Theoretical , 53 (43) , Article 435201. 10.1088/1751-8121/abb724. Green open access

[img]
Preview
Text
Stokes_Stokes_2020_J._Phys._A__Math._Theor._53_435201.pdf - Published version

Download (1MB) | Preview

Abstract

We study singularity confinement phenomena in examples of delay-differential Painlev´e equations, which involve shifts and derivatives with respect to a single independent variable. We propose a geometric interpretation of our results in terms of mappings between jet spaces, defining certain singularities analogous to those of interest in the singularity analysis of discrete systems, and what it means for them to be confined. For three previously studied examples of delaydifferential Painlev´e equations, we describe all such singularities and show they are confined in the sense of our geometric description.

Type: Article
Title: Singularity confinement in delay-differential Painleve equations
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1751-8121/abb724
Publisher version: https://doi.org/10.1088/1751-8121/abb724
Language: English
Additional information: Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. https://creativecommons.org/licenses/by/4.0/
Keywords: Painlev´e equations, singularity confinement, delay-differential equations
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10110221
Downloads since deposit
7Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item