Regular dynamics and diffusion chaos in the Brusselator model
type: Item
instance of: scholarly article
title: Regular dynamics and diffusion chaos in the Brusselator model
zbMATH Open document ID: 1017.37044
DOI: 10.1023/A:1017929102036
author: A. V. Dernov
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: On the example of Brusselator model as classical reaction-diffusion system the author investigates the dependence of the system behaviour on the domain length when other parameters are fixed and proves that the domain length is a key characteristic of distributed systems. It is shown how the system behaviour becomes more complicated as the domain length grows owing to the presence of diffusion. The results of a numerical experiment are presented, which illustrate the presence of an intermediate behaviour between a regular and a chaotic attractor, i.e. the presence of invariant tori.
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92E20
zbMATH DE Number: 1915973
zbMATH Keywords: regular attractor
zbMATH Keywords: Brusselator model
zbMATH Keywords: reaction-diffusion system
zbMATH Keywords: chaotic attractor
zbMATH Keywords: invariant tori
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: a:1017929102036
OpenAlex ID: W113763405
description: scientific article; zbMATH DE number 1915973