THE NON-DICRITICAL ORDER AND ATTRACTING DOMAINS OF HOLOMORPHIC MAPS TANGENT TO THE IDENTITY

DOI10.1142/S0129167X14500037zbMath1288.32024OpenAlexW2171164482MaRDI QIDQ5409853

Feng Rong

Publication date: 15 April 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500037

zbMATH Keywords

attracting domainsholomorphic maps tangent to the identitydynamics of holomorphic mapsnon-degenerate characteristic directions

Mathematics Subject Classification ID

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

Related Items (6)

Fatou Flowers and Parabolic Curves ⋮ Domain of attraction for maps tangent to the identity in \(\mathbb C^2\) with characteristic direction of higher degree ⋮ A note on attracting domains for holomorphic maps in ℂ2 tangent to the identity ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ Local dynamics of holomorphic maps in \(\mathbf C^{2}\) with a Jordan fixed point ⋮ Attracting domains for semi-attractive and quasi-attractive analytic transformations

Cites Work

• Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields
• The residual index and the dynamics of holomorphic maps tangent to the identity
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• Degenerate characteristic directions for maps tangent to the identity

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