Analysis of absolute and convective instabilities in the one-dimensional
Brusselator flow model using Ginzburg-Landau equations

Pavel Kuptsov

Department of Informatics, Saratov State Academy of Low, Saratov, Russia

Abstract: Kuznetsov et. al. in [J. Chem. Phys. 106, 7609 (1997)] studied an absolute and convective instabilities in the one-dimensional Brusselator flow model. In this work the amplitude Ginzburg-Landau equations are derived for this system. The problem of transition in these equations from absolute to convective instabilities are discussed. The instabilities are considered via two theoretical methods: the pinch-point analysis of the dispersion equation, and the investigation of fully developed time periodic regimes. The results of these linear and nonlinear approaches are appear to be in good correspondence.