English

On the cycles of components of disconnected Julia sets

Dynamical Systems 2020-07-08 v2

Abstract

For any integers d3d\ge 3 and n1n\ge 1, we construct a hyperbolic rational map of degree dd such that it has nn cycles of the connected components of its Julia set except single points and Jordan curves.

Keywords

Cite

@article{arxiv.1904.04541,
  title  = {On the cycles of components of disconnected Julia sets},
  author = {Guizhen Cui and Wenjuan Peng},
  journal= {arXiv preprint arXiv:1904.04541},
  year   = {2020}
}

Comments

30 pages, 9 figures