Integrable mappings and the notion of anticonfinement
Mathematical Physics
2017-11-17 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We examine the notion of anticonfinement and the role it has to play in the singularity analysis of discrete systems. A singularity is said to be anticonfined if singular values continue to arise indefinitely for the forward and backward iterations of a mapping, with only a finite number of iterates taking regular values in between. We show through several concrete examples that the behaviour of some anticonfined singularities is strongly related to the integrability properties of the discrete mappings in which they arise, and we explain how to use this information to decide on the integrability or non-integrability of the mapping.
Keywords
Cite
@article{arxiv.1511.02000,
title = {Integrable mappings and the notion of anticonfinement},
author = {Takafumi Mase and Ralph Willox and Alfred Ramani and Basil Grammaticos},
journal= {arXiv preprint arXiv:1511.02000},
year = {2017}
}
Comments
10 pages, no figures