Bifurcation and Chaos: Analysis, Algorithms, Applications

  • R. Seydel
  • F. W. Schneider
  • T. Küpper
  • H. Troger

Table of contents

  1. Front Matter
    Pages I-X
  2. J. Amrehn, Th.-M. Kruel, F. W. Schneider, F. Buchholtz
    Pages 19-25
  3. J. Boissonade, V. Castets, E. Dulos, P. De Kepper
    Pages 67-77
  4. Domokos Gábor
    Pages 99-103
  5. M. Eiswirth, A. Freund, J. Ross
    Pages 105-109
  6. M. S. El Naschie, T. Kapitaniak
    Pages 111-115
  7. J. Falzarano, A. Steindl, A. Troesch, H. Troger
    Pages 117-121
  8. E. Gamero, E. Freire, E. Ponce
    Pages 123-127
  9. T. J. Garratt, G. Moore, A. Spence
    Pages 129-133

About this book

Introduction

This volume contains the proceedings of a conference held in Wiirzburg, August 20-24, 1990. The theme of the conference was Bifurcation and Chaos: Analysis, Algorithms, Ap­ plications. More than 100 scientists from 21 countries presented 80 contributions. Many of the results of the conference are described in the 49 refereed papers that follow. The conference was sponsored by the Deutsche Forschungsgemeinschaft, and by the Deutscher Akademischer Austauschdienst. We gratefully acknowledge the support from these agen­ cies. The science of nonlinear phenomena is evolving rapidly. Over the last 10 years, the emphasis has been gradually shifting. How trends vary may be seen by comparing these proceedings with previous ones, in particular with the conference held in Dortmund 1986 (proceedings published in ISNM 79). Concerning the range of phenomena, chaos has joined the bifurcation scenarios. As expected, the acceptance of chaos is less emotional among professionals, than it has been in some popular publications. A nalytical methods appear to have reached a state in which basic results of singularities, symmetry groups, or normal forms are everyday experience rather than exciting news. Similarly, numerical algorithms for frequent situations are now well established. Implemented in several packages, such algorithms have become standard means for attacking nonlinear problems. The sophisti­ cation that analytical and numerical methods have reached supports the vigorous trend to more and more applications. Pioneering equations as those named after Duffing, Van der Pol, or Lorenz, are no longer exclusively the state of art.

Keywords

Eigenvalue Laplace operator Volume bifurcation derivative differential equation distribution dynamical systems manifold maximum minimum numerical method ordinary differential equation partial differential equation stability

Editors and affiliations

  • R. Seydel
    • 1
  • F. W. Schneider
    • 2
  • T. Küpper
    • 3
  • H. Troger
    • 4
  1. 1.Abteilung für NumerikUniversität UlmUlmGermany
  2. 2.Institut für Physikalische ChemieUniversität WürzburgWürzburgGermany
  3. 3.Mathematisches InstitutUniversität KölnKölnGermany
  4. 4.Institut für MechanikTechnische Universität WienWienAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-7004-7
  • Copyright Information Birkhäuser Basel 1991
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-7006-1
  • Online ISBN 978-3-0348-7004-7
  • About this book