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arXiv 2102.02133math.DS
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利率诱导性小费定义的再思考

Rethinking the Definition of Rate-Induced Tipping

Alanna Hoyer-Leitzel, Alice Nadeau

摘要:

目前的定义率引起的小费是绑定到一个拉回吸引限制在向前和向后的时间到一个稳定的准静态平衡的想法。在这里,我们提出了一个新的定义,包括在文献中的某些标量系统的标准定义,并包括以前排除的$N$维系统,表现出率相关的临界转变。

英文摘要:

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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