Analysis of absolute and convective instabilities in the one-dimensional
Brusselator flow model using Ginzburg-Landau equations
Department of Informatics, Saratov State Academy of Low,
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.