English

A-stabilization and the ranges of complex polynomials on the unit disk

Numerical Analysis 2017-01-18 v1 Dynamical Systems

Abstract

Problems of stabilization of the unstable cycle of one-dimensional complex dynamical system are briefly discussed. These questions reduced to the problem of description of the ranges of polynomials q(z)=q1z+q2z2++qnznq(z) = q_1z + q_2z^2 +\dots + q_nz^n defined in the unit disk and normalized by the conditions q(1)=1q(1) = 1 and this is the main subject of the present paper.

Keywords

Cite

@article{arxiv.1701.04784,
  title  = {A-stabilization and the ranges of complex polynomials on the unit disk},
  author = {Alexey Solyanik},
  journal= {arXiv preprint arXiv:1701.04784},
  year   = {2017}
}
R2 v1 2026-06-22T17:52:26.394Z