On the cycles of components of disconnected Julia sets (Q2235238)

From MaRDI portal
scientific article
Language Label Description Also known as
English
On the cycles of components of disconnected Julia sets
scientific article

    Statements

    On the cycles of components of disconnected Julia sets (English)
    0 references
    0 references
    0 references
    21 October 2021
    0 references
    The main goal of the paper is to carry out the study of cycles of components of disconnected Julia sets. For any integers \(d\geq3\) and \(n\geq1\), the authors construct a hyperbolic rational map of degree \(d\) with \(n\) cycles of the connected components of its Julia set except single points and Jordan curves.
    0 references
    0 references
    Julia component
    0 references
    eventually periodic
    0 references
    wandering set
    0 references

    Identifiers