English

Singularity patterns and dynamical degrees

Mathematical Physics 2018-05-29 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

We explain on a selection of mappings how the method introduced by Halburd and our simplified variant thereof, the so-called express method, can be used to calculate the dynamical degree of second-order rational mappings from nothing more than their singularity structure.

Cite

@article{arxiv.1805.10518,
  title  = {Singularity patterns and dynamical degrees},
  author = {Takafumi Mase and Ralph Willox and Alfred Ramani and Basil Grammaticos},
  journal= {arXiv preprint arXiv:1805.10518},
  year   = {2018}
}

Comments

8 pages, no figures

R2 v1 2026-06-23T02:09:20.399Z