Why Nonsmooth?

Conference paper
Part of the Trends in Mathematics book series (TM, volume 8)

Abstract

Perhaps we should wrap up this volume by asking why nonsmooth dynamics is the subject of a three month Intensive Research Program at the CRM (February to April 2016), why it was the subject of more than 2000 papers published in 2015 (and only 700 in the year 2000; data from Thomson Reuters Web of Science), and why it is a growing presence at international conferences involving mathematics and its applications. We briefly survey here why discontinuity is not only important in modeling real-world systems, but is also a fundamental property of many nonlinear systems.

References

  1. 1.
    C.M. Bender, S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers I. Asymptotic Methods and Perturbation Theory (Springer, New York, 1999)Google Scholar
  2. 2.
    A.F. Filippov, Differential Equations with Discontinuous Righthand Sides (Kluwer Academic Publishers, Dordrecht, 1988) (Russian 1985)Google Scholar
  3. 3.
    M.R. Jeffrey, The ghosts of departed quantities in switches and transitions, preprint (2015)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Engineering MathematicsUniversity of BristolBristolUK

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