Methods and applications of singular perturbations

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A constructive approach to quasi-steady state reductions (2014, background): “(19) (c) If the reaction network underlying h(0) has deficiency zero, and the uniformity condition for asymptotic stability from Verhulst [34], Thm.”
Determining “small parameters” for quasi-steady state (2015, methodology): “(b) The convergence property can be stated as follows: There is L π * > 0 such that for every 0 < d π * < L π * the solutions of system (4) rewritten in slow time scale, i.e. for τ = δt, converge to solutions of the reduced system (5) in slow time scale, viz. dx dτ = I n − P (x, π * )A(x, π * ) −1 D”
Tikhonov's Theorem and Quasi-Steady State (2011, unknown): “2 shows the local existence of a transformation to Tikhonov normal form, and furthermore conditions (a) and (b) in [29], Thm.”