Pattern Formation in Continuous and Coupled Systems

A Survey Volume

  • Martin Golubitsky
  • Dan Luss
  • Steven H. Strogatz

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 115)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Guenter Ahlers, Kapil M.S. Bajaj
    Pages 1-9
  3. F.H. Busse, R.M. Clever
    Pages 25-32
  4. Gerhard Dangelmayr, Michael Wegelin
    Pages 33-47
  5. Martin Golubitsky, Ian Stewart
    Pages 65-82
  6. M. Gabriela M. Gomes, Isabel S. Labouriau, Eliana M. Pinho
    Pages 83-99
  7. Frederic Guyard, Reiner Lauterbach
    Pages 121-135
  8. E. Knobloch, J. Moehlis
    Pages 157-174
  9. Jeroen S. W. Lamb, Ian Melbourne
    Pages 175-191
  10. Anna L. Lin, Valery Petrov, Harry L. Swinney, Alexandre Ardelea, Graham F. Carey
    Pages 193-201
  11. Y. Renardy, C. G. Stoltz
    Pages 203-213
  12. BjöRn Sandstede, Arnd Scheel, Claudia Wulff
    Pages 249-264
  13. H.S.J. Van Der Zant, Shinya Watanabe
    Pages 283-301
  14. Kurt Wiesenfeld
    Pages 303-309
  15. Back Matter
    Pages 311-323

About this book


This IMA Volume in Mathematics and its Applications PATTERN FORMATION IN CONTINUOUS AND COUPLED SYSTEMS is based on the proceedings of a workshop with the same title, but goes be­ yond the proceedings by presenting a series of mini-review articles that sur­ vey, and provide an introduction to, interesting problems in the field. The workshop was an integral part of the 1997-98 IMA program on "EMERG­ ING APPLICATIONS OF DYNAMICAL SYSTEMS." I would like to thank Martin Golubitsky, University of Houston (Math­ ematics) Dan Luss, University of Houston (Chemical Engineering), and Steven H. Strogatz, Cornell University (Theoretical and Applied Mechan­ ics) for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Foundation (NSF), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE Pattern formation has been studied intensively for most of this cen­ tury by both experimentalists and theoreticians, and there have been many workshops and conferences devoted to the subject. In the IMA workshop on Pattern Formation in Continuous and Coupled Systems held May 11-15, 1998 we attempted to focus on new directions in the patterns literature.


bifurcation differential equation dynamical systems ordinary differential equation stability turbulence

Editors and affiliations

  • Martin Golubitsky
    • 1
  • Dan Luss
    • 2
  • Steven H. Strogatz
    • 3
  1. 1.Department of MathematicsUniversity of HoustonHoustonUSA
  2. 2.Department of Chemical EngineeringUniversity of HoustonHoustonUSA
  3. 3.Theoretical and Applied MechanicsCornell UniversityIthacaUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7192-5
  • Online ISBN 978-1-4612-1558-5
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site