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Titlebook: Extended Abstracts Spring 2016; Nonsmooth Dynamics Alessandro Colombo,Mike Jeffrey,Josep M. Olm Conference proceedings 2017 Springer Intern

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发表于 2025-3-21 16:54:34 | 显示全部楼层 |阅读模式
书目名称Extended Abstracts Spring 2016
副标题Nonsmooth Dynamics
编辑Alessandro Colombo,Mike Jeffrey,Josep M. Olm
视频video
丛书名称Trends in Mathematics
图书封面Titlebook: Extended Abstracts Spring 2016; Nonsmooth Dynamics Alessandro Colombo,Mike Jeffrey,Josep M. Olm Conference proceedings 2017 Springer Intern
描述.This volume contains extended abstracts outlining selected talks and other selected presentations given by participants throughout the "Intensive Research Program on Advances in Nonsmooth Dynamics 2016", held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 1st to April 29th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and outlines of prominent discussion sessions. The articles are all the result of direct collaborations initiated during the research program...The topic is the theory and applications of Nonsmooth Dynamics. This includes systems involving elements of: impacting, switching, on/off control, hybrid discrete-continuous dynamics, jumps in physical properties, and many others. Applications include: electronics, climate modeling, life sciences, mechanics, ecology, and more. Numerous new results are reported concerning the dimensionality and robustness of nonsmooth models, shadowing variables, numbers of limit cycles, discontinuity-induced bifurcations and chaos, determinacy-breaking, stability criteria, and the classification of attractors and other singularities. This material of
出版日期Conference proceedings 2017
关键词discontinuous; inclusion; dynamics; sliding; Filippov; switch; nonsmooth; singularity; mechanics; climate; bio
版次1
doihttps://doi.org/10.1007/978-3-319-55642-0
isbn_softcover978-3-319-55641-3
isbn_ebook978-3-319-55642-0Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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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.
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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 various
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,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.
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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.
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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.
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