Domain of attraction for maps tangent to the identity in \(\mathbb C^2\) with characteristic direction of higher degree

DOI10.1007/s12220-015-9637-zzbMath1362.37091arXiv1501.00244OpenAlexW3099035083MaRDI QIDQ345270

Sara Lapan

Publication date: 1 December 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00244

zbMATH Keywords

fixed pointsholomorphic dynamicsdomains of attractionmaps tangent to identity

Mathematics Subject Classification ID

Related Items (1)

A note on attracting domains for holomorphic maps in ℂ2 tangent to the identity

Cites Work

• Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields
• Formal normal forms for holomorphic maps tangent to the identity
• Holomorphic dynamical systems. Lectures given at the C.I.M.E. summer school, Cetraro, Italy, July 7--12, 2008
• Complex dynamics
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• New invariants and attracting domains for holomorphic maps in \(\mathbb{C}^2\) tangent to the identity
• ATTRACTING DOMAINS OF MAPS TANGENT TO THE IDENTITY WHOSE ONLY CHARACTERISTIC DIRECTION IS NON-DEGENERATE
• Degenerate characteristic directions for maps tangent to the identity
• On \'Ecalle-Hakim's theorems in holomorphic dynamics
• THE NON-DICRITICAL ORDER AND ATTRACTING DOMAINS OF HOLOMORPHIC MAPS TANGENT TO THE IDENTITY
• Basins of attraction of automorphisms in ℂ³
• Dynamics in One Complex Variable. (AM-160)

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