The basin of the strange attactors of some Hénon maps
type: Item
instance of: scholarly article
title: The basin of the strange attactors of some Hénon maps
zbMATH Open document ID: 0986.37029
DOI: 10.1016/S0960-0779(98)00181-7
author: S. Kiriki
author: Yongluo Cao
published in: Chaos, Solitons and Fractals
publication date: 2000-08-09T00:00:00Z
review text: This paper is devoted to the trapping region of the Hénon map \[ h_{a,b}(x,y)= (1-ax^2+y,bx). \] It is known that for \(|b|\) small and \(b<0\), the Hénon map exhibits a strange attractor \(\Lambda_{a,b}\). Here the authors construct a trapping region which contains \(\Lambda_{a,b}\) and show that this trapping is contained in the basin of \(\Lambda_{a,b}\). Moreover they give an exact description of the basin of \(\Lambda_{a,b}\).
Mathematics Subject Classification ID: 37E30
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1486543
zbMATH Keywords: Hénon map
zbMATH Keywords: strange attractor
zbMATH Keywords: trapping region
zbMATH Keywords: basin of attraction
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1486543