Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics

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Determining “small parameters” for quasi-steady state (2015, methodology): “…scale, viz. dx dτ = I n − P (x, π * )A(x, π * ) −1 D 1 µ(x, π * ) D 2 h(x, π * )γ (0) as δ → 0, uniformly for τ ∈ [d π * , L π * ]; see Verhulst [41] * ∈ Π for dimension s, the system ˙ x = h(x, π * ) admits a formal Tikhonov-Fenichel reduction (5) to an s-dimensional manifold Z ⊂ V(h(·, π *…”