English

On a two dimensional dynamical system generated by the floor function

Dynamical Systems 2019-03-27 v1

Abstract

In this paper we investigate the two dimensional dynamical system generated by the floor function with a parameter λR\lambda\in \R. We describe all limit points of the dynamical system depending on λ\lambda and on the initial point.

Cite

@article{arxiv.1903.10774,
  title  = {On a two dimensional dynamical system generated by the floor function},
  author = {J. B. Usmonov},
  journal= {arXiv preprint arXiv:1903.10774},
  year   = {2019}
}

Comments

7 pages

R2 v1 2026-06-23T08:19:15.934Z