Dynamics of \(\mathbb{P}^2\) (examples) (Q2725682)
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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 |
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26 February 2002
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Fatou-Julia theory
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dynamics of rational maps
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holomorphic endomorphisms
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perturbations
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generalized Hénon maps
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Dynamics of \(\mathbb{P}^2\) (examples) (English)
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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].
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