On the algebraic structure of rational discrete dynamical systems
Exactly Solvable and Integrable Systems
2018-11-06 v1 Algebraic Geometry
Dynamical Systems
Abstract
We show how singularities shape the evolution of rational discrete dynamical systems. The stabilisation of the form of the iterates suggests a description providing among other things generalised Hirota form, exact evaluation of the algebraic entropy as well as remarkable polynomial factorisation properties. We illustrate the phenomenon explicitly with examples covering a wide range of models.
Cite
@article{arxiv.1501.06384,
title = {On the algebraic structure of rational discrete dynamical systems},
author = {Claude M. Viallet},
journal= {arXiv preprint arXiv:1501.06384},
year = {2018}
}