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Table of contents

  1. Front Matter
    Pages i-xiv
  2. Analysis Tools, Bifurcation Theory

    1. Front Matter
      Pages 1-1
    2. Anil K. Bajaj, Bappaditya Banerjee, Patricia Davies
      Pages 13-22
    3. R. Guder, E. Kreuzer
      Pages 41-50
    4. Edgar Knobloch, Jeff Moehlis
      Pages 51-60
    5. Richard Rand, Randolph Zounes, Rachel Hastings
      Pages 61-70
    6. Alois Steindl, Hans Troger, Josef V. Zemann
      Pages 71-80
    7. A. N. Fedorova, M. G. Zeitlin
      Pages 101-108
  3. Elastica, Cables and Shell Dynamics

  4. Inelastic Materials, Material Processing

    1. Front Matter
      Pages 181-181
    2. M. A. Davies, T. J. Burns, C. J. Evans
      Pages 183-192
    3. Ali H. Nayfeh, Jon R. Pratt
      Pages 193-202
  5. Machine System Dynamics

    1. Front Matter
      Pages 221-221
    2. S. W. Shaw, C.-P. Chao, C.-T. Lee
      Pages 223-234
    3. Friedrich Pfeiffer
      Pages 235-252
  6. Impact and Nonsmooth Systems

  7. Circuits, Control, Cardiac Modelling

    1. Front Matter
      Pages 331-331
    2. J. Engelbrecht, R. V. Hertzen, O. Kongas
      Pages 333-342
    3. L. N. Virgin, M. D. Todd, C. J. Begley, S. T. Trickey, E. H. Dowell
      Pages 353-362
    4. W. O. Schiehlen
      Pages 363-370
  8. Vehicle and Ship Dynamics

    1. Front Matter
      Pages 371-371
    2. Carsten Nordstrøm Jensen, Martin Golubitsky, Hans True
      Pages 387-396
    3. Oliver M. O’Reilly, Peter C. Varadi
      Pages 397-406
    4. M. J. Coleman, M. Garcia, A. L. Ruina, J. S. Camp, A. Chatterjee
      Pages 407-416

About these proceedings

Introduction

It is two decades since Mitchell Feigenbaum's landmark papers on period doubling and the modern beginnings of what is now called "Chaos Theory". From the very beginning, mechanics has been a central focus for modem nonlinear dynamical systems. Fluid, structural, machine and rigid body dynamics has been a fertile field for nonlinear phenomena and chaos in particular. Early experimental evidence for chaotic phenomena in mechanics gave the new chaos theory a mark of credibility, importance, and relevance that its earlier sister field, catastrophe theory, did not achieve. The fact that mechanics straddles both physics and engineering also meant that mechanics became a pathway for direct application of chaos theory to applied problems. So what is new in nonlinear dynamics and mechanics today? First the scope of applications in solid mechanics has broadened to cover material processing, inelasticity and fracture mechanics. In rigid body dynamics, more complex systems such as vehicles, robotics and controlled machines have come into the purview of nonlinear dynamicists. On the mathematics side of nonlinear dynamics, it is now recognized that spatio-temporal problems, hysteretic and time delay problems are the new frontiers in this field. Also the term "complexity" has been added to the lexicon of chaos theory to describe the dynamics of many interacting sub systems which can exhibit self organization and evolution. Complexity analysis has gained a foothold in biological and some social sciences as well in fluid and chemical physics.

Keywords

bifurcation theory chaos mechanics nonlinear dynamics solids vehicle dynamics

Editors and affiliations

  • Francis C. Moon
    • 1
  1. 1.College of EngineeringCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-5320-1
  • Copyright Information Kluwer Academic Publishers 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6235-0
  • Online ISBN 978-94-011-5320-1
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site