Projective Space Method for Slow Invariant Manifolds of Reactive Systems

One dimensional slow invariant manifolds for dynamical systems arising from modeling isothermal, spatially homogeneous, closed reactive systems are calculated. The technique is based on global analysis of the composition space of the reactive system. The identification of all the system’s finite and infinite critical points plays a major role in calculating the system’s slow invariant manifold. The slow invariant manifolds are constructed by calculating heteroclinic orbits which connect appropriate critical points to the unique stable physical equilibrium point. The technique is applied to small and large detailed kinetics mechanisms.