12 citations · 28 across the 5 of their papers we have counts for
7 papers
Algorithmic Reduction of Biological Networks With Multiple Time Scales
Niclas Kruff, Christoph Lüders, Ovidiu Radulescu +2
We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks whic…
Centralizers and normalizers of local analytic and formal vector fields
Niclas Kruff, Sebastian Walcher, Xiang Zhang
We investigate the structure of the centralizer and the normalizer of a local analytic or formal differential system at a nondegenerate stationary point, using the theory of Poinca…
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…
Invariant ideals of local analytic and formal vector fields
Niclas Kruff
The objective of this paper is to analyse analytic invariant sets of analytic ordinary differential equations (ODEs). For this purpose we introduce semi-invariants and invariant id…