| 书目名称 | Modeling with Nonsmooth Dynamics | | 编辑 | Mike R. Jeffrey | | 视频video | | | 概述 | Rather than presenting well-established facts, this book sets out a field in need of the attention of a wide range of theoretical and applied scientists.A novel range of applied examples are presented | | 丛书名称 | Frontiers in Applied Dynamical Systems: Reviews and Tutorials | | 图书封面 |  | | 描述 | .This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. .What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them..The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understandi | | 出版日期 | Book 2020 | | 关键词 | nonsmooth; switch; decision; discontinuous; determinacy; Dynamics; modeling; indeterminacy; discontinuity; si | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-35987-4 | | isbn_softcover | 978-3-030-35986-7 | | isbn_ebook | 978-3-030-35987-4Series ISSN 2364-4532 Series E-ISSN 2364-4931 | | issn_series | 2364-4532 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:38:47
