Linearization of Hénon maps with resonant eigenvalues at an attracting fixed point

DOI10.1007/s11785-017-0722-0zbMath1417.32020OpenAlexW2752610461MaRDI QIDQ682092

David Hahn

Publication date: 13 February 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0722-0

zbMATH Keywords

resonancesattracting fixed pointHénon mapslocal holomorphic dynamics

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)

Cites Work

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• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Hénon mappings in the complex domain. I: The global topology of dynamical space
• Dynamics of transcendental Hénon maps
• Classification of recurrent domains for some holomorphic maps
• Classification of invariant Fatou components for dissipative Hénon maps
• Das Typenproblem bei formal-biholomorphen Abbildungen mit anziehendem Fixpunkt
• Normalformen biholomorpher Abbildungen mit anziehendem Fixpunkt
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Dynamical properties of plane polynomial automorphisms
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence

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