The real dynamics of Bieberbach's example

DOI10.1007/S12220-014-9518-XzbMath1360.37057arXiv1310.7468OpenAlexW1976570748MaRDI QIDQ253806

Evan Milliken, Tasos Moulinos, Axel Hundemer, Sandra Hayes-Widmann

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1310.7468

zbMATH Keywords

Julia setsbasin boundaryHénon mapsstable manifolds

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Fatou-Bieberbach domains in \(\mathbb{C}^{2}\)
• Dynamical properties of plane polynomial automorphisms
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
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