Renormalization approach to optimal limiter control in 1-D chaotic systems
type: Item
instance of: scholarly article
title: Renormalization approach to optimal limiter control in 1-D chaotic systems
zbMATH Open document ID: 1005.37017
DOI: 10.1023/A:1013120112236
author: R. Smith
published in: Journal of Statistical Physics
publication date: 2002-07-02T00:00:00Z
review text: This paper is devoted to optimal limiter control of chaos in one-dimensional systems. The authors show that this type of chaos can be described by flat-topped maps. They study the properties of this control by a bifurcation analysis and discover its partially universal behaviour. The optimality of the control method is expressed by an exponentially fast control onto selected periodic orbits, making targeting algorithms idle.
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 37E20
zbMATH DE Number: 1762110
zbMATH Keywords: optimal limiter control
zbMATH Keywords: chaos
zbMATH Keywords: one-dimensional systems
zbMATH Keywords: bifurcation
zbMATH Keywords: periodic orbits
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1013120112236
OpenAlex ID: W16696985
description: scientific article; zbMATH DE number 1762110