Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number
type: Item
instance of: scholarly article
title: Universal small-scale structure near the boundary of Siegel disks of arbitrary rotation number
zbMATH Open document ID: 0612.58028
DOI: 10.1016/0167-2789(87)90223-5
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: We present numerical evidence that for analytic maps of the complex plane with a Siegel disk of any irrational rotation number and a quadratic critical point on its boundary, the small scale structure near the critical point can be described asymptotically by a universal two- parameter family. We propose an explanation in terms of an ergodic attractor for a renormalization operator.
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37B99
zbMATH DE Number: 3990448
zbMATH Keywords: quadratic critical point
zbMATH Keywords: ergodic attractor for a renormalization operator
author: Robert S. MacKay
author: Ian C. Percival
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90223-5
OpenAlex ID: W2043290428
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description: scientific article; zbMATH DE number 3990448