Halcyon 发表于 2025-3-21 16:54:34
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Asynchronous Networks,odes can evolve independently, be constrained, stop, and later restart, and interactions between components of the network may depend on time, state, and stochastic effects. We outline some of the main ideas, motivations and a basic result.misanthrope 发表于 2025-3-22 03:18:37
Regularization by External Variables,well known kinds of regularization (e.g., by smoothing or hysteresis). Here, we propose a framework for an alternative and important kind of regularization, by external variables that . either the state or the switch of the original system. The shadow systems are derived from and inspired by variousILEUM 发表于 2025-3-22 07:31:22
,Characterizing Tipping in a Stochastic Reduced Stommel-Type Model in Higher-Dimensions,uch as fluctuations and time variation, in nonsmooth models that undergo a sudden transition, with an emphasis on conceptual climate models. A number of models were discussed, including the Stommel 1961 model, the Paillard 1997 model, the Eisenman–Wettlaufer 2009 model, and the Hogg 2008 model.联想记忆 发表于 2025-3-22 12:24:08
http://reply.papertrans.cn/32/3198/319800/319800_5.png委屈 发表于 2025-3-22 16:46:11
A Choice Between Smooth and Nonsmooth Models,ualitative behaviour of a model be independent of the choice of a smooth or piecewise smooth representation. We address this issue by building on some classical results from piecewise smooth systems theory.委屈 发表于 2025-3-22 18:06:47
http://reply.papertrans.cn/32/3198/319800/319800_7.pngNerve-Block 发表于 2025-3-22 21:52:10
http://reply.papertrans.cn/32/3198/319800/319800_8.pnginvulnerable 发表于 2025-3-23 04:25:17
Less Is More I: A Pessimistic View of Piecewise Smooth Bifurcation Theory, a different approach needs to be taken when trying to describe bifurcations. In particular, it may not be helpful to analyze particular bifurcations at the level of detail that is standard for smooth systems.HEAVY 发表于 2025-3-23 06:51:23
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