Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
type: Item
instance of: scholarly article
title: Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
zbMATH Open document ID: 0696.58032
DOI: 10.1016/0167-2789(89)90073-0
published in: Physica D
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4140878
zbMATH Keywords: area-preserving map
zbMATH Keywords: invariant circle
zbMATH Keywords: critical line
author: Jukka A. Ketoja
author: Robert S. MacKay
MaRDI profile type: Publication
full work available at URL: 0167-2789(89)90073-0
OpenAlex ID: W2047873338
cites work: Q3260726
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cites work: Exact results for an approximate renormalisation scheme and some predictions for the breakup of invariant tori
cites work: Q3764119
cites work: Transport in Hamiltonian systems
cites work: Locally most robust circles and boundary circles for area-preserving maps
cites work: Period doubling for bimodal maps: a horseshoe for a renormalisation operator
cites work: Critical Behavior of a KAM surface. I: Empirical results
cites work: Erratic behavior of invariant circles in standard-like mappings
description: scientific article; zbMATH DE number 4140878