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An Introduction to Piecewise Smooth Dynamics

  • Paul Glendinning
  • Mike R. Jeffrey
  • Elena Bossolini
  • J. Tomàs Lázaro
  • Josep M. Olm
Textbook

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Paul Glendinning, Mike R. Jeffrey
    Pages 3-53
  3. Paul Glendinning, Mike R. Jeffrey
    Pages 55-121
  4. Back Matter
    Pages 123-129

About this book

Introduction

This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.

Keywords

piecewise smooth switching layer boundary bifurcation hidden dynamics gap map gluing bifurcation higher dimensional attractors

Authors and affiliations

  • Paul Glendinning
    • 1
  • Mike R. Jeffrey
    • 2
  1. 1.School of MathematicsUniversity of ManchesterManchesterUK
  2. 2.Department of Engineering MathematicsUniversity of BristolBristolUK

Editors and affiliations

  • Elena Bossolini
    • 1
  • J. Tomàs Lázaro
    • 2
  • Josep M. Olm
    • 3
  1. 1.Department of Applied MathematicsTechnical University of DenmarkLyngbyDenmark
  2. 2.Departament de MatemàtiquesUniversitat Politècnica de CatalunyaBarcelonaSpain
  3. 3.Departament de MatemàtiquesUniversitat Politècnica de CatalunyaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-23689-2
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-23688-5
  • Online ISBN 978-3-030-23689-2
  • Series Print ISSN 2297-0304
  • Series Online ISSN 2297-0312
  • Buy this book on publisher's site
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