Coordinate-independent singular perturbation reduction for systems with three time scales

Niclas Kruff, Sebastian Walcher
2019 Mathematical Biosciences and Engineering  
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 three time scales; thus no a priori separation of variables into fast, slow etc. is required. Moreover we consider arbitrary parameter dependent systems and extend earlier work on Tikhonov-Fenichel parameter values -i.e. parameter values from which singularly perturbed systems emanate upon small perturbationsto the
more » ... turbationsto the three time-scale setting. We apply our results to two standard systems from biochemistry.
doi:10.18154/rwth-2019-06677 fatcat:krm3tjw75bajthyh64hgqimjie