Frontiers in Applied Dynamical Systems: Reviews and Tutorials

Modeling with Nonsmooth Dynamics

Authors: Jeffrey, Mike R.

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  • 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, including biological regulation and investment modeling
  • An informal style is taken that invites the reader into a conversation on the theory and applications of nonsmooth models
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  • ISBN 978-3-030-35987-4
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Softcover 31,19 €
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price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35986-7
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  • Institutional customers should get in touch with their account manager
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About this book

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 understanding that all researchers should be bearing in mind.

Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.

About the authors

Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics specializing in dynamics, singularities, and asymptotics.​

Reviews

“This book is best matched to graduate students and researchers with a background in basic dynamical systems. It has an extensive bibliography and would provide a great source for new research problems.” (Bill Satzer, MAA Reviews, September 13, 2020)


Table of contents (9 chapters)

Table of contents (9 chapters)
  • Mathematics for a Nonsmooth World

    Pages 1-14

    Jeffrey, Mike R.

  • 1930–2010: Nonsmooth Dynamics’ Linear Age

    Pages 15-20

    Jeffrey, Mike R.

  • Discontinuities to Model Missing Knowledge

    Pages 21-24

    Jeffrey, Mike R.

  • Three Experiments

    Pages 25-33

    Jeffrey, Mike R.

  • Layers and Implementations

    Pages 35-43

    Jeffrey, Mike R.

Buy this book

eBook 24,60 €
50,28 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35987-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 31,19 €
62,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35986-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Modeling with Nonsmooth Dynamics
Authors
Series Title
Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Series Volume
7
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-35987-4
DOI
10.1007/978-3-030-35987-4
Softcover ISBN
978-3-030-35986-7
Series ISSN
2364-4532
Edition Number
1
Number of Pages
VIII, 104
Number of Illustrations
13 b/w illustrations, 15 illustrations in colour
Topics