Bifurcation: Analysis, Algorithms, Applications

Proceedings of the Conference at the University of Dortmund, August 18–22, 1986

  • T. Küpper
  • R. Seydel
  • H. Troger

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Chris Budd
    Pages 9-17
  3. Friedrich H. Busse
    Pages 18-26
  4. Bernold Fiedler, Peter Kunkel
    Pages 61-70
  5. Martin Holodniok, P. Knedlík, M. Kubíček
    Pages 122-130
  6. Edgar Jäger
    Pages 131-138
  7. Nicholas D. Kazarinoff, Evangelos A. Coutsias
    Pages 139-152
  8. J. P. Kernévez, E. J. Doedel
    Pages 153-160
  9. Edwin J. Kreuzer
    Pages 161-171
  10. Magnus Küper
    Pages 172-176

About this book

Introduction

The conference on BIFURCATIONS: ANALYSIS, ALGORITHMS, APPLICATIONS took place in Dortmund in August 18 - 22, 1986. More then 150 Scientists from 16 countries participated in the meeting, among them mathematicians, engi­ neers, and physicists. A broad spectrum of new results on bifurcation was covered by 49 talks. The diversity of the range of treated topics and of involved fields inspired fruitful discussions. 36 refereed papers are contained in these proceedings. The subjects covered treat bifurcation problems, ranging from theoretical investigations to numerical results, with emphasis placed upon applications. The more theoreti­ cal papers include the topics symmetry breaking, delay differential equations, Cornu spirals, homoclinic orbits, and selfsimilarity. Different kinds of bifurcations are treated: Hopf bifurcation, bifurcation from continuous spec­ trum, complex bifurcation, and bifurcation near tori. Several numerical as­ pects are discussed, among them continuation, block elimination, and spectral methods. Algorithms are proposed for approximating manifolds, calculating pe­ riodic solutions and handling multi-parameter problems. Ample space is devoted to· applications. Classical phenomena from fluid mechanics (such as convection rolls and th~ Taylor vortex problem), buckling, and reaction-diffusion pro­ blems are considered. Other applications of bifurcations include railway vehicle dynamics, computer graphics, semiconductors, drilling processes, simu­ lation of oil reservoirs, and rotor dynamics. The proceedings reflect current research in bifurcation. They are an attempt to bring together researchers from differ~nt disciplines to stimulate common effort towards a better understanding and handling of bifurcation pro­ blems.

Keywords

Evolution differential equation mechanics optimization partial differential equation

Editors and affiliations

  • T. Küpper
    • 1
  • R. Seydel
    • 2
  • H. Troger
    • 3
  1. 1.Institut für Angewandte MathematikUniversität HannoverHannover 1Germany
  2. 2.Institut für Angewandte Mathematik und StatistikUniversität WürzburgGermany
  3. 3.Institut für MechanikTechnische Universität WienWienAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-7241-6
  • Copyright Information Birkhäuser Basel 1987
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-7243-0
  • Online ISBN 978-3-0348-7241-6
  • About this book