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arXiv · 1903.11540

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

Niclas Kruff·Sebastian Walcher
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Abstract

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 perturbations -- to the three time-scale setting. We apply our results to two standard systems from biochemistry.

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Niclas Kruff, Sebastian Walcher. 2019-03-27. Coordinate-independent singular perturbation reduction for systems with three time scales. https://doi.org/10.3934/mbe.2019255

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