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Modeling with Nonsmooth Dynamics pp 1–14Cite as

Mathematics for a Nonsmooth World

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Part of the book series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials ((FIADS,volume 7))

Abstract

A system may be said to exhibit nonsmooth dynamics if the laws that govern its behaviour change markedly at certain thresholds. Those changes might represent decisions, physical switches, boundaries of solid objects, or changes in modes of contact. Here we look at the current understanding of nonsmooth dynamics as a means of approximation, and how it allows us to model novel phenomena beyond the scope of smooth dynamical systems.

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  1. Department of Engineering Mathematics, University of Bristol, Bristol, Avon, UK

    Mike R. Jeffrey

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Jeffrey, M.R. (2020). Mathematics for a Nonsmooth World. In: Modeling with Nonsmooth Dynamics. Frontiers in Applied Dynamical Systems: Reviews and Tutorials, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-030-35987-4_1

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