Detecting discrete integrability: the singularity approach
Mathematical Physics
2018-09-11 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We describe the various types of singularities that can arise for second order rational mappings and we discuss the historical and present-day, practical, role the singularity confinement property plays as an integrability detector. In particular, we show how singularity analysis can be used to calculate explicitly the dynamical degree for such mappings.
Cite
@article{arxiv.1809.00853,
title = {Detecting discrete integrability: the singularity approach},
author = {Basil Grammaticos and Alfred Ramani and Ralph Willox and Takafumi Mase},
journal= {arXiv preprint arXiv:1809.00853},
year = {2018}
}
Comments
27 pages, 2 figures ; to appear in Nonlinear Systems and Their Remarkable Mathematical Structures, N. Euler (Ed.), CRC Press, Boca Raton FL, 2018