Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\)
DOI10.1007/S10231-020-01061-7zbMath1480.37056arXiv1905.13152OpenAlexW3134629736MaRDI QIDQ2035973
Publication date: 2 July 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.13152
Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration theory, iterative and composite equations (39B12) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Lectures on dynamical systems. Hamiltonian vector fields and symplectic capacities
- On invariant manifolds of complex analytic mappings near fixed points
- Local structure of analytic transformations of two complex variables. I
- Attracting basins for automorphisms of \(\mathbb{C}^2\)
- Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\)
- Dynamics of one-resonant biholomorphisms
- Classification of invariant Fatou components for dissipative Hénon maps
- Iteration of analytic functions
- Automorphisms of \(\mathbb C^k\) with an invariant non-recurrent attracting Fatou component biholomorphic to \(\mathbb C \times (\mathbb C^\ast)^{k-1}\)
- Dynamics of Multi-Resonant Biholomorphisms
- Brjuno conditions for linearization in presence of resonances
- Holomorphic Maps from C n to C n
- ATTRACTING BASINS OF VOLUME PRESERVING AUTOMORPHISMS OF ℂk
- Une Propriete Topologique des Domaines de Runge
This page was built for publication: Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\)
