Multiple Time Scale Dynamics

  • Christian Kuehn
Part of the Applied Mathematical Sciences book series (AMS, volume 191)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Christian Kuehn
    Pages 1-17
  3. Christian Kuehn
    Pages 19-51
  4. Christian Kuehn
    Pages 53-70
  5. Christian Kuehn
    Pages 71-89
  6. Christian Kuehn
    Pages 91-112
  7. Christian Kuehn
    Pages 113-157
  8. Christian Kuehn
    Pages 159-196
  9. Christian Kuehn
    Pages 197-237
  10. Christian Kuehn
    Pages 239-293
  11. Christian Kuehn
    Pages 295-325
  12. Christian Kuehn
    Pages 327-357
  13. Christian Kuehn
    Pages 359-396
  14. Christian Kuehn
    Pages 397-430
  15. Christian Kuehn
    Pages 431-475
  16. Christian Kuehn
    Pages 477-524
  17. Christian Kuehn
    Pages 525-551
  18. Christian Kuehn
    Pages 553-582
  19. Christian Kuehn
    Pages 583-617
  20. Christian Kuehn
    Pages 619-663

About this book

Introduction

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form.  The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview.

The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this  book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective. 

Keywords

Bifurcations Canards Fast-Slow Systems Geometric Singular Perturbation Theory Invariant Manifolds Mixed-mode Oscillations Multiple Time Scales Normal Hyperbolicity

Authors and affiliations

  • Christian Kuehn
    • 1
  1. 1.Institute for Analysis and SC and Scientific ComputingVienna University of TechnologyViennaAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-12316-5
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-12315-8
  • Online ISBN 978-3-319-12316-5
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • About this book