Paper Title:
Turing Instability and Hopf Bifurcation for the General Brusselator System
  Abstract

The Brusselator system subject to homogeneous Neumann boundary conditions is investigated. It is firstly shown that the homogeneous equilibrium solution becomes Turing unstable or diffusively unstable when parameters are chosen properly. Then the existence of Hopf bifurcation to the ODE and PDE models is obtained. Examples of numerical simulations are also shown to support and supplement the analytical results.

  Info
Periodical
Advanced Materials Research (Volumes 255-260)
Edited by
Jingying Zhao
Pages
2126-2130
DOI
10.4028/www.scientific.net/AMR.255-260.2126
Citation
G. H. Guo, B. F. Li, "Turing Instability and Hopf Bifurcation for the General Brusselator System", Advanced Materials Research, Vols. 255-260, pp. 2126-2130, 2011
Online since
May 2011
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