3 papers
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
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.DS2018
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…