A model equation in combustion theory exhibiting an infinite number of secondary bifurcations
type: Item
instance of: scholarly article
title: A model equation in combustion theory exhibiting an infinite number of secondary bifurcations
zbMATH Open document ID: 0631.76069
DOI: 10.1016/0167-2789(87)90126-6
author: Michael Renardy
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: We investigate periodic solutions of a model equation arising in combustion theory. It is known that there is an infinite number of branches of solutions bifurcating from the trivial solution. In addition, it is shown that each of these primary branches exhibits an infinite number of secondary bifurcations. Both the primary and secondary branches can be given explicitly in terms of rational trigonometric functions.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4027059
zbMATH Keywords: periodic solutions
zbMATH Keywords: combustion theory
zbMATH Keywords: infinite number of branches of solutions
zbMATH Keywords: infinite number of secondary bifurcations
zbMATH Keywords: rational trigonometric functions
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90126-6
OpenAlex ID: W1991184346
cites work: Q3039704
cites work: Existence of steady progressive waves of a certain model equation in combustion theory
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
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description: scientific article; zbMATH DE number 4027059