Periodic travelling-wave solution of Brusselator
type: Item
instance of: scholarly article
title: Periodic travelling-wave solution of Brusselator
zbMATH Open document ID: 0669.34042
DOI: 10.1007/BF02007236
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1988-01-01T00:00:00Z
review text: The author firstly gives the conditions such that a quartic algebraic equation has a pair of complex conjugate roots and a pair real roots, and all of the roots have strictly negative real part (Lemma 1-3). With that, he gives the conditions of coefficients of the characteristic equation which enables us to know the existence of the Hopf bifurcation. As an application, the author considers the Brusselator in diffusion. Without tedious computation, he obtains the result for existing a periodic travelling-wave solution by Hopf bifurcation.
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 4095928
zbMATH Keywords: quartic algebraic equation
zbMATH Keywords: complex conjugate roots
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: Brusselator in diffusion
zbMATH Keywords: periodic travelling-wave solution
author: Bei-Ye Feng
MaRDI profile type: Publication
cites work: Q3930015
full work available at URL: https://doi.org/10.1007/bf02007236
OpenAlex ID: W2028429999
description: scientific article; zbMATH DE number 4095928