English

On chaos of a cubic $p$-adic dynamical system

Dynamical Systems 2007-12-24 v1 Number Theory

Abstract

In the paper we describe basin of attraction of the pp-adic dynamical system f(x)=x3+ax2f(x)=x^3+ax^2. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the pp-adic Siegel discs.

Keywords

Cite

@article{arxiv.math/0608573,
  title  = {On chaos of a cubic $p$-adic dynamical system},
  author = {Farrukh Mukhamedov and José F. F. Mendes},
  journal= {arXiv preprint arXiv:math/0608573},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:41:18.469Z