English

Simple systems of nonlinear recursions whose evolution is rather easily ascertained

Exactly Solvable and Integrable Systems 2025-02-19 v1

Abstract

It is shown that the solutions of certain systems of nonlinear \"Orst-order recursions with polynomial right-hand sides may be rather easily ascertained, and display interesting evolutions in their ticking time variable (taking integer values): for instance a remarkable kind of asymptotic periodicity.

Keywords

Cite

@article{arxiv.2502.12331,
  title  = {Simple systems of nonlinear recursions whose evolution is rather easily ascertained},
  author = {Francesco Calogero},
  journal= {arXiv preprint arXiv:2502.12331},
  year   = {2025}
}
R2 v1 2026-06-28T21:47:57.548Z