Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps

DOI10.1017/S0143385711000708zbMath1286.37050arXiv1008.3157MaRDI QIDQ4911058

Mario Ponce

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3157

zbMATH Keywords

invariant curvesparabolic behaviorfibered holomorphic maps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Cites Work

• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Dynamics of polynomial skew products on \(\mathbb{C}^2\)
• Multidimensional nonhyperbolic attractors
• Iteration of analytic functions
• Topology of Fatou components for endomorphisms of CP^k: linking with the Green's current
• A Class of Transitive Cylinder Transformations
• Axiom A polynomial skew products of 2 and their postcritical sets
• Skew product maps related to finitely generated rational semigroups
• Hyperbolicité des polynômes fibrés
• A topological characterization of holomorphic parabolic germs in the plane
• Local dynamics for fibred holomorphic transformations
• Dynamics in One Complex Variable. (AM-160)

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