Tipping in asymptotically slow-fast systems
Organizers
Speaker
Samuel Jelbart
Time
Thursday, May 29, 2025 3:00 PM - 4:00 PM
Venue
Online
Online
Zoom 787 662 9899
(BIMSA)
Abstract
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.