Local dynamics of holomorphic maps in \(\mathbf C^{2}\) with a Jordan fixed point

DOI10.1307/mmj/1387226168zbMath1290.32015OpenAlexW2030351884MaRDI QIDQ2442196

Feng Rong

Publication date: 2 April 2014

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1387226168

zbMATH Keywords

parabolic curveattracting domainJordan fixed point

Mathematics Subject Classification ID

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)

Related Items (2)

Fatou Flowers and Parabolic Curves ⋮ A Brief Survey on Local Holomorphic Dynamics in Higher Dimensions

Cites Work

• Basins of attraction in quadratic dynamical systems with a Jordan fixed point
• Quasi-parabolic analytic transformations of \(\mathbf C^n\). Parabolic manifolds
• The residual index and the dynamics of holomorphic maps tangent to the identity
• Analytic transformations of \((\mathbb{C}^p,0)\) tangent to the identity
• Quasi-parabolic analytic transformations of \(\mathbb C^n\)
• Linearization of holomorphic germs with quasi-parabolic fixed points
• Diagonalization of nondiagonalizable discrete holomorphic dynamical systems
• The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C 2
• Discrete holomorphic local dynamical systems
• THE NON-DICRITICAL ORDER AND ATTRACTING DOMAINS OF HOLOMORPHIC MAPS TANGENT TO THE IDENTITY
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