An analytically tractable model for combustion instability

Abstract — A system of two coupled Van der Pol equations is considered as a model for combustion instability. This system is analyzed using the Krylov-Bogoliubov method. The results of the analysis are compared with simulation results and with data obtained from a combustion system. Index Terms — modelling, combustion instability, nonlinear oscillating systems, Krylov-Bogoliubov method