On the basin problem for Hénon-like attractors
type: Item
instance of: scholarly article
title: On the basin problem for Hénon-like attractors
zbMATH Open document ID: 1113.37019
author: Hiroki Takahasi
published in: Journal of Mathematics of Kyoto University
publication date: 2007-02-20T00:00:00Z
review text: The author considers the so-called basin problem for the attractors of a family of Hénon-like mappings; namely, the determination of the asymptotic distribution of a typical point within the basin of attraction. The author improves earlier results by \textit{M. Benedicks} and \textit{M. Viana} [Invent. Math. 143, No.~2, 375--434 (2001; Zbl 0967.37023)] and \textit{Q. Wang} and \textit{L.-S. Young} [Commun. Math. Phys. 218, No.~1, 1--97 (2001; Zbl 0996.37040)], by removing a crucial assumption.
reviewed by: Franco Vivaldi
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37E99
zbMATH DE Number: 5128990
zbMATH Keywords: Hénon map
zbMATH Keywords: basin of attraction
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250281779
OpenAlex ID: W2100472467
DOI: 10.1215/KJM/1250281779
description: scientific article; zbMATH DE number 5128990