Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides
Dynamical Systems
2021-09-28 v3 Exactly Solvable and Integrable Systems
Abstract
In this short paper we identify special systems of (an arbitrary number) N of first-order Difference Equations with nonlinear homogeneous polynomials of arbitrary degree M in their right-hand sides, which feature very simple explicit solutions. A novelty of these findings is to consider special systems characterized by constraints involving both their parameters and their initial data
Cite
@article{arxiv.2108.04956,
title = {Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides},
author = {Francesco Calogero and Farrin Payandeh},
journal= {arXiv preprint arXiv:2108.04956},
year = {2021}
}
Comments
3 Pages. arXiv admin note: substantial text overlap with arXiv:2106.06634