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.
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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 BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10110221 |
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