12 citations · 28 across the 5 of their papers we have counts for
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math.DS2019
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…
math.DS2019★ 4 cited
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…
math.DS2019★ 12 cited
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…