English

On the chaotic behavior of a generalized logistic $p$-adic dynamical system

Dynamical Systems 2007-11-21 v1 Number Theory

Abstract

In the paper we describe basin of attraction pp-adic dynamical system G(x)=(ax)2(x+1)G(x)=(ax)^2(x+1). 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/0702697,
  title  = {On the chaotic behavior of a generalized logistic $p$-adic dynamical system},
  author = {Farrukh Mukhamedov and José F. F. Mendes},
  journal= {arXiv preprint arXiv:math/0702697},
  year   = {2007}
}

Comments

19 pages. J. Differential Equations (2007) (to appear)

R2 v1 2026-07-22T17:51:35.954Z