Skip to main content
SpringerLink
Log in

IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics

Proceedings of the IUTAM Symposium held in Ithaca, NY, U.S.A., 27 July–1 August 1997

  • Conference proceedings
  • © 1999

Overview

Editors:
  1. Francis C. Moon

    1. College of Engineering, Cornell University, Ithaca, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 63)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (54 papers)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Analysis Tools, Bifurcation Theory

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Bifurcation in Stochastically Perturbed Dynamical Systems

      • S. T. Ariaratnam
      Pages 3-11

    3. Nonstationary Responses in Two Degree-of-Freedom Nonlinear Systems with 1-to-2 Internal Resonance

      • Anil K. Bajaj, Bappaditya Banerjee, Patricia Davies
      Pages 13-22

    4. Sinusoidally Varying Period-Doubling Bifurcations

      • Huw G. Davies
      Pages 23-29

    5. Wavelet Approach to Mechanical Problems. Symplectic Group, Symplectic Topology and Symplectic Scales

      • A. N. Fedorova, M. G. Zeitlin
      Pages 31-40

    6. On the Generalized Cell Mapping

      • R. Guder, E. Kreuzer
      Pages 41-50

    7. Bursts

      • Edgar Knobloch, Jeff Moehlis
      Pages 51-60

    8. Dynamics of a Quasiperiodically-Forced Mathieu Oscillator

      • Richard Rand, Randolph Zounes, Rachel Hastings
      Pages 61-70

    9. Improved Galerkin Method in the Dimension Reduction of Nonlinear Dynamical Systems

      • Alois Steindl, Hans Troger, Josef V. Zemann
      Pages 71-80

    10. Sequences of Global Bifurcations and Multiple Chaotic Transients in a Mechanical Driven Oscillator

      • W. Szemplińska-Stupnicka, E. Tyrkiel
      Pages 81-91

    11. Bifurcation of Homoclinic Orbits in Autonomous Systems and in Chaotic Blue Sky Catastrophe

      • M. Belhaq, F. Lakrad
      Pages 93-100

    12. Wavelet Approach to Polynomial Mechanical Problems

      • A. N. Fedorova, M. G. Zeitlin
      Pages 101-108

    13. Jumps to Resonance Phenomena in Nonlinear Mechanics: Fractal Basins, Chaotic Transients and Unpredictability

      • Mohamed S. Soliman
      Pages 109-115

    14. Global Stable Oscillations Near Unstable Equilibrium Positions: The Hilltop Effect

      • M. Zakrzhevsky
      Pages 117-124

  3. Elastica, Cables and Shell Dynamics

    1. Front Matter

      Pages 125-125
      Download chapter PDF

    2. Homoclinic Orbits, Spatial Chaos and Localized Buckling

      • J. M. T. Thompson, G. H. M. Van Der Heijden
      Pages 127-138

    3. Nonregular Regimes of Monodimensional Mechanical Systems with Initial Curvature: Experiments and Time Series Analysis

      • F. Benedettini, G. Rega
      Pages 139-148

    4. Constrained Euler Buckling: Line Contact Solutions

      • Philip Holmes, John Schmitt, Gabor Domokos
      Pages 149-158

    5. The Role of Homoclinic Bifurcations in Understanding the Buckling of Long Thin Cylindrical Shells

      • G. J. Lord, A. R. Champneys, G. W. Hunt
      Pages 159-168
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • College of Engineering, Cornell University, Ithaca, USA

    Francis C. Moon

Bibliographic Information

  • Book Title: IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics

  • Book Subtitle: Proceedings of the IUTAM Symposium held in Ithaca, NY, U.S.A., 27 July–1 August 1997

  • Editors: Francis C. Moon

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-011-5320-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1999

  • Hardcover ISBN: 978-0-7923-5276-1Published: 31 October 1998

  • Softcover ISBN: 978-94-010-6235-0Published: 14 October 2012

  • eBook ISBN: 978-94-011-5320-1Published: 06 December 2012

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XIV, 562

  • Topics: Vibration, Dynamical Systems, Control, Classical and Continuum Physics, Automotive Engineering

Publish with us

Policies and ethics

Back to top

Search

Navigation