Tipping in asymptotically slow-fast systems
演讲者
Samuel Jelbart
时间
2025年05月29日 15:00 至 16:00
地点
Online
线上
Zoom 787 662 9899
(BIMSA)
摘要
We consider a geometric approach to the study of tipping phenomena in a class of asymptotically slow-fast systems, which are in some sense ‘intermediate’ between the (smaller respectively larger) classes of asymptotically autonomous and non-autonomous systems. After showing that the relevant systems can be viewed as singular perturbations of a limiting system with a discontinuity in time, we consider an analytical framework for their analysis based on geometric blow-up techniques. Using this approach, we provide sufficient conditions for the occurrence of tipping events in low dimensions. The proofs rely on geometric blow-up, a variant of the Melnikov method which applies on non-compact domains, and geometric singular perturbation theory.