Bifurcations and Catastrophes

Geometry of Solutions to Nonlinear Problems

  • Michel Demazure

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Michel Demazure
    Pages 1-11
  3. Michel Demazure
    Pages 13-30
  4. Michel Demazure
    Pages 31-61
  5. Michel Demazure
    Pages 63-86
  6. Michel Demazure
    Pages 87-113
  7. Michel Demazure
    Pages 115-145
  8. Michel Demazure
    Pages 147-177
  9. Michel Demazure
    Pages 179-217
  10. Michel Demazure
    Pages 219-247
  11. Michel Demazure
    Pages 249-268
  12. Michel Demazure
    Pages 269-292
  13. Back Matter
    Pages 293-303

About this book


Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.


Bifurcations Catastrophes Dynamical Systems Maxima Nonlinear Singularities catastrophe theory diffeomorphism manifold

Authors and affiliations

  • Michel Demazure
    • 1
  1. 1.Cité des Sciences et de l’IndustrieParisFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52118-1
  • Online ISBN 978-3-642-57134-3
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site