  The framework of transition state theory (TST) provides a powerful way for
analyzing the dynamics of physical and chemical reactions. While TST has
already been successfully used to obtain reaction rates for systems with a
single time-dependent saddle point, multiple driven saddles have proven
challenging because of their fractal-like phase space structure. This paper
presents the construction of an approximately recrossing-free dividing surface
based on the normally hyperbolic invariant manifold in a time-dependent
two-saddle model system. Based on this, multiple methods for obtaining
instantaneous (time-resolved) decay rates of the underlying activated complex
are presented and their results discussed.
