Explicitly Solvable Systems of First-Order Difference Equations With Homogeneous Polynomial Right-Hand Sides

Francesco Calogero, Farrin Payandeh

Published 2021-08-10Version 1

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