English

Solvable nonlinear systems of 2 recursions displaying interesting evolutions

Exactly Solvable and Integrable Systems 2024-07-29 v1

Abstract

In this paper a class of simple, but nonlinear, systems of recursions involving 22 dependent variables xj(n)x_{j}\left( n\right) is identified, such that the solutions of their initial-values problems -- with arbitrary initial data xj(0)x_{j}\left( 0\right) -- may be explicitly obtained.

Keywords

Cite

@article{arxiv.2407.18270,
  title  = {Solvable nonlinear systems of 2 recursions displaying interesting evolutions},
  author = {Francesco Calogero},
  journal= {arXiv preprint arXiv:2407.18270},
  year   = {2024}
}
R2 v1 2026-06-28T17:53:52.123Z