Rethinking the Definition of Rate-Induced Tipping
Dynamical Systems
2021-06-16 v2
Abstract
The current definition of rate-induced tipping is tied to the idea of a pullback attractor limiting in forward and backward time to a stable quasi-static equilibrium. Here we propose a new definition that encompasses the standard definition in the literature for certain scalar systems and includes previously excluded -dimensional systems that exhibit rate-dependent critical transitions.
Keywords
Cite
@article{arxiv.2102.02133,
title = {Rethinking the Definition of Rate-Induced Tipping},
author = {Alanna Hoyer-Leitzel and Alice Nadeau},
journal= {arXiv preprint arXiv:2102.02133},
year = {2021}
}
Comments
11 pages, 5 figures