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Claire Kiers – Rate-induced Tipping in Maps – GMA Seminar
September 9, 2019 @ 4:00 pm - 5:00 pm
Title: Rate-induced Tipping in Maps
Abstract: The study of dynamical systems can be divided into two main categories: continuous-time (flows) and discrete-time (maps). Although these types of systems are defined differently, we look for the same kinds of features in both of them. Rate-induced tipping is one phenomenon that has been well-studied in flows, and so we might expect a similar thing to happen in maps. In this talk, I will share my work on defining rate-induced tipping in maps and developing some of the basic theory in that setting. Time-permitting, we will also look at how results about rate-induced tipping are different between maps and flows, due to the fundamental differences between these types of systems.