41 citations · 164 across the 26 of their papers we have counts for
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math.CA2016★ 4 cited
A coordinate-independent version of Hoppensteadt's convergence theorem
Christian Lax, Katrin Seliger, Sebastian Walcher
The classical theorems about singular perturbation reduction (due to Tikhonov and Fenichel) are concerned with convergence on a compact time interval (in slow time) as a small para…
math.CA2016★ 41 cited
Classical quasi-steady state reduction -- A mathematical characterization
Alexandra Goeke, Sebastian Walcher, Eva Zerz
We discuss parameter dependent polynomial ordinary differential equations that model chemical reaction networks. By classical quasi-steady state (QSS) reduction we understand the f…