41 citations · 164 across the 26 of their papers we have counts for
4 papers · 2 filters
Quasi-steady state and singular perturbation reduction for reaction networks with non-interacting species
Elisenda Feliu, Christian Lax, Sebastian Walcher +1
Quasi-steady state (QSS) reduction is a commonly used method to lower the dimension of a differential equation model of a chemical reaction network. From a mathematical perspective…
Invariant algebraic surfaces of polynomial vector fields in dimension three
Niclas Kruff, Jaume Llibre, Chara Pantazi +1
We discuss criteria for the nonexistence, existence and computation of invariant algebraic surfaces for three-dimensional complex polynomial vector fields, thus transferring a clas…
Tikhonov-Fenichel reduction for parameterized critical manifolds with applications to chemical reaction networks
Elisenda Feliu, Niclas Kruff, Sebastian Walcher
We derive a reduction formula for singularly perturbed ordinary differential equations (in the sense of Tikhonov and Fenichel) with a known parameterization of the critical manifol…
Coordinate-independent singular perturbation reduction for systems with three time scales
Niclas Kruff, Sebastian Walcher
On the basis of recent work by Cardin and Teixeira on ordinary differential equations with more than two time scales, we devise a coordinate-independent reduction for systems with…