Fenichel Theory – a coordinate independent framework
时间 Datetime
2023-11-24 10:00 — 11:00
地点 Venue
Zoom APP()
报告人 Speaker
Martin Wechselberger
单位 Affiliation
University of Sydney
邀请人 Host
张祥
备注 remarks
Zoom number: 83367790049 Pin:231124
报告摘要 Abstract
In this talk, I present a coordinate-independent framework of geometric singular perturbation theory which goes back to Fenichel's original work, but hasn't received too much attention. I will motivate this point-of-view through biochemical reaction network problems which display distinct temporal features. In mathematical terms, such multiple timescale models are often singular perturbation problems "beyond the standard form" that require a coordinate-independent framework of Fenichel Theory. We then present a corresponding parametrisation method for computing slow manifolds and their fast fibre bundles in such singular perturbation problems. In particular, we highlight the emergence of possible hidden timescales and show how our method can uncover these surprising multiple-timescale structures.
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