Dynamics of \(\mathbb{P}^2\) (examples) (Q2725682)

From MaRDI portal





scientific article; zbMATH DE number 1619527
Language Label Description Also known as
English
Dynamics of \(\mathbb{P}^2\) (examples)
scientific article; zbMATH DE number 1619527

    Statements

    0 references
    0 references
    26 February 2002
    0 references
    Fatou-Julia theory
    0 references
    dynamics of rational maps
    0 references
    holomorphic endomorphisms
    0 references
    perturbations
    0 references
    generalized Hénon maps
    0 references
    Dynamics of \(\mathbb{P}^2\) (examples) (English)
    0 references
    Having the Fatou-Julia theory of the dynamics of rational maps in \(\mathbb{P}^1\) (a lot of attention was done in the past 20 years), it is quite natural to extend the theory of holomorphic endomorphisms of \(\mathbb{P}^k\), \(k\geq 2\). The goal of this paper is to study some families of endomorphisms of \(\mathbb{P}^2\) that exhibit interesting dynamical properties. Moreover they study perturbations of generalized Hénon maps in \(\mathbb{C}^2\).NEWLINENEWLINEFor the entire collection see [Zbl 0959.00033].
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references