A nonlinear two-species oscillatory system: bifurcation and stability analysis
type: Item
instance of: scholarly article
title: A nonlinear two-species oscillatory system: bifurcation and stability analysis
zbMATH Open document ID: 1018.37029
DOI: 10.1155/S0161171203201174
author: Malay Bandyopadhyay
author: R. Bhattacharyya
author: Charu Gopal Chakrabarti
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50246
review text: Summary: The present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion. The last deals with an oscillatory chemical system as an illustrative example.
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37N99
zbMATH DE Number: 1930082
zbMATH Keywords: nonlinear bifurcation
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: limit cycle analysis
zbMATH Keywords: homogeneous system
zbMATH Keywords: travelling wave train solution
zbMATH Keywords: stability analysis
zbMATH Keywords: oscillatory chemical system
MaRDI profile type: Publication
OpenAlex ID: W2139093265
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description: scientific article; zbMATH DE number 1930082