Classification of invariant Fatou components for dissipative Hénon maps

DOI10.1007/s00039-014-0280-9zbMath1301.32013OpenAlexW2029579115MaRDI QIDQ2510442

Han Peters, Mikhail Lyubich

Publication date: 1 August 2014

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-014-0280-9

zbMATH Keywords

dissipative Hénon mapsinvariant non-recurrent Fatou components

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (18)

Invariant escaping Fatou components with two rank-one limit functions for automorphisms of ⋮ Polynomial skew-products with wandering Fatou-disks ⋮ A two-dimensional polynomial mapping with a wandering Fatou component ⋮ Dynamics of polynomial diffeomorphisms of \(\mathbb {C}^2\): combinatorial and topological aspects ⋮ Julia sets of complex Hénon maps ⋮ Automorphisms of \(\mathbb C^k\) with an invariant non-recurrent attracting Fatou component biholomorphic to \(\mathbb C \times (\mathbb C^\ast)^{k-1}\) ⋮ Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy ⋮ Polynomial skew-products in dimension 2: bulging and wandering Fatou components ⋮ Geometric methods in holomorphic dynamics ⋮ Dynamics of transcendental Hénon maps ⋮ Linearization of Hénon maps with resonant eigenvalues at an attracting fixed point ⋮ Dynamics of semigroups of entire maps of \(\mathbb C^k\) ⋮ Automorphisms of \(\mathbb{C}^2\) with parabolic cylinders ⋮ Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\) ⋮ Structure of partially hyperbolic Hénon maps ⋮ Fatou components of elliptic polynomial skew products ⋮ Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\) ⋮ Emergence of wandering stable components

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