Pulsating Behaviour in Combustion Waves

ames. The models differ in their kinetic mechanisms, i.e. one-step and two-step chainbranching reaction schemes are considered here. It is shown that in these models there exists a variety of dynamical regimes of nonlinear wave propagation depending on the control parameters. These regimes include travelling waves, pulsating periodic waves, pulsating waves emerging due to the period-doubling bifurcations, chaotic waves and transient chaotic modes of ame propagation. The existence of the chaotic transient behaviour leads to different effects for the propagation of premixed combustion waves depending on the kinetic mechanism considered. In the case of the one-step adiabatic ames, this behaviour results in the formation of complex chaotic dynamics whereas in the case of the two-step chain branching model it is responsible for the extinction of the combustion waves via the chaotic transient route. Prospects for further investigations are also outlined.