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arXiv · 2102.02133

Rethinking the Definition of Rate-Induced Tipping

Alanna Hoyer-Leitzel·Alice Nadeau
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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 $N$-dimensional systems that exhibit rate-dependent critical transitions.

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Alanna Hoyer-Leitzel, Alice Nadeau. 2021-02-03. Rethinking the Definition of Rate-Induced Tipping. https://doi.org/10.1063/5.0046420

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