Newhouse Laminations of polynomials on ℂ2

DOI10.1142/S0129167X20500913zbMath1457.32048arXiv2001.07251OpenAlexW3046966704MaRDI QIDQ5130989

Zhuang Tao, Liviana Palmisano, Marco Martens

Publication date: 31 October 2020

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

Full work available at URL: https://arxiv.org/abs/2001.07251

zbMATH Keywords

dynamical systemsholomorphic dynamicshomoclinic tangencyNewhouse phenomenonNewhouse laminations

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Cites Work

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• Some open problems in higher dimensional complex analysis and complex dynamics
• Infinitely many periodic attractors for holomorphic maps of 2 variables
• Attracting basins in \({\mathbb{P}}^2\)
• Diffeomorphisms with infinitely many sinks
• Renormalization in the Hénon family. I: Universality but non-rigidity
• Cherry flows with non-trivial attractors

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