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- W3088888928 abstract "We present a novel method for computing slow manifolds and their fast fibre bundles in geometric singular perturbation problems. This coordinate-independent method simultaneously computes parametrisations of these objects and the dynamics on them. It does so by iteratively solving a so-called conjugacy equation, yielding approximations with arbitrarily high degrees of accuracy. We show the power of this top-down method for the study of systems with multiple (i.e., three or more) timescales. In particular, we highlight the emergence of hidden timescales and show how our method can uncover these surprising multiple timescale structures. We also apply our parametrisation method to several reaction network problems." @default.
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- W3088888928 date "2020-09-22" @default.
- W3088888928 modified "2023-09-27" @default.
- W3088888928 title "Multiple timescales and the parametrisation method in geometric singular perturbation theory" @default.
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