Combustion regimes subsequent to the reflection of a detonation from a perforated plate

A simple phenomenological approach is used to elucidate different combustion processes resulted from the interaction of a detonation with a perforated plate. The mathematical model is given by a simple nonlinear logistic difference equation, with parameters associated with the effect of turbulence, quenching and gasdynamics. Different nonlinear solutions of the logistic difference model provide an analog to the possible combustion regimes and they agree qualitatively with the experimental observations.