Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos
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Publication:2288425
DOI10.1007/s00222-019-00902-4zbMath1443.37033arXiv1705.05036OpenAlexW2963447497MaRDI QIDQ2288425
Publication date: 17 January 2020
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.05036
Schwarzian derivativerenormalizationunimodal mapstable manifoldswandering domainsbad regionexpansion estimategood regionHénon-like map
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Universality and renormalization of dynamical systems (37E20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)
Related Items
Iterative roots of two-dimensional mappings, Densely branching trees as models for Hénon-like and Lozi-like attractors, Emergence of wandering stable components
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