Dynamics of transcendental Hénon maps

DOI10.1007/s00208-018-1643-6zbMath1436.32068arXiv1705.09183OpenAlexW2963701876MaRDI QIDQ1741839

Leandro Arosio, Han Peters, Anna Miriam Benini, John-Erik Fornaess

Publication date: 7 May 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09183

zbMATH Keywords

transcendental Hénon maps

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of, Dynamics of transcendental Hénon maps. III: Infinite entropy, On target-oriented control of Hénon and Lozi maps, Iterative roots of two-dimensional mappings, Dynamics of transcendental Hénon maps. II, A transcendental Hénon map with an oscillating wandering short \(\mathbb{C}^2\), Linearization of Hénon maps with resonant eigenvalues at an attracting fixed point, Automorphisms of \(\mathbb{C}^m\) with bounded wandering domains, Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos, Global dynamics of the real secant method, Emergence of wandering stable components

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