Using MAPLE for the Analysis of Bifurcation Phenomena in Gas Combustion

We consider a three-dimensional thermal-diffusion model for a premixed burner flame. Many experimental and theoretical works in condensed-phase and gas combustion show that the flame front may propagate in a number of different ways. The structure and stability properties of the front depend essentially on the physical parameters of the model. This article describes the use of the symbolic manipulation language MAPLE for the analysis of bifurcation phenomena in gas combustion. It shows how symbolic manipulation languages can be combined effectively with analysis and numerical computations for this type of investigation.