English

Relations between Escape Regions in the Parameter Space of Cubic Polynomials

Dynamical Systems 2022-05-11 v1

Abstract

We describe a topological relationship between slices of the parameter space of cubic maps. In the paper \cite{CP1}, Milnor defined the curves Sn\mathcal{S}_n as the set of all cubic polynomials with a marked critical point of period pp. In this paper, we will describe a relationship between the boundaries of the connectedness loci in the curves S1\mathcal{S}_1 and S2\mathcal{S}_2.

Keywords

Cite

@article{arxiv.2205.04994,
  title  = {Relations between Escape Regions in the Parameter Space of Cubic Polynomials},
  author = {Araceli Bonifant and Chad Estabrooks and Thomas Sharland},
  journal= {arXiv preprint arXiv:2205.04994},
  year   = {2022}
}

Comments

21 pages, 12 figures