Dynamics of transcendental Hénon maps-II

Open Access
Authors
  • L. Arosio
  • A.M. Benini
  • J.E. Fornæss
  • H. Peters
Publication date 04-2023
Journal Mathematische Annalen
Volume | Issue number 385 | 3-4
Pages (from-to) 975-999
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here that transcendental Hénon maps always have non-trivial dynamical behavior, namely that they always admit both periodic and escaping orbits, and that their Julia sets are non-empty and perfect.
Document type Article
Language English
Published at https://doi.org/10.1007/s00208-022-02358-z
Other links https://www.scopus.com/pages/publications/85124531916
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Dynamics of transcendental Hénon maps-II (Final published version)
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