Classification of invariant Fatou components for dissipative Hénon maps
From MaRDI portal
Publication:2510442
DOI10.1007/s00039-014-0280-9zbMath1301.32013OpenAlexW2029579115MaRDI QIDQ2510442
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The dynamics of the Hénon map
- Spectral theory of almost periodic representations of semigroups
- On Dehn's lemma and the asphericity of knots
- Topological classification of holomorphic, semi-hyperbolic germs, in ``quasi-absence of resonances
- Periodic points of polynomials
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- Local structure of analytic transformations of two complex variables. I
- Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
- Hénon mappings in the complex domain. I: The global topology of dynamical space
- Nonwandering, nonrecurrent Fatou components in \({\mathbb{P}}^2\).
- Fatou sets in complex dynamics on projective spaces
- Classification of recurrent domains for some holomorphic maps
- Attracting domains for semi-attractive transformations of \(\mathbb{C}^ p\)
- Tautness and Fatou components in \(\mathbb P^2\)
- Dynamics of one-resonant biholomorphisms
- Diffeomorphisms with infinitely many sinks
- Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\)
- Renormalization in the Hénon family. I: Universality but non-rigidity
- Holomorphic maps on projective spaces and continuations of Fatou maps
- Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
- Dynamics of Multi-Resonant Biholomorphisms
- Dynamical properties of plane polynomial automorphisms
- Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
- The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C 2
- Singular Points of Complex Hypersurfaces. (AM-61)
- Invariant manifolds
This page was built for publication: Classification of invariant Fatou components for dissipative Hénon maps