Abstract. The ignition of combustible gas containing liquid fuel droplets is investigated. The analysis is based on the theory of integral manifolds of singularly perturbed systems. This approach allows us to define different types of chemical regimes including the critical mode. The relation between the critical regime and the phenomenon of delayed loss of stability in the dynamical model is shown.Keywords: integral manifold, singular perturbations, delayed loss of stability, spray, combustion theory, critical behavior, thermal explosion.Citation: Agataeva AZh, Shchepakina EA. Critical conditions of ignition of fuel spray containing liquid fuel droplets.