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Engineering Applications of Dynamics of Chaos

  • Book
  • © 1991

Overview

Editors:
  1. W. Szemplinska-Stupnicka

    1. IPPT-PAN, Warsaw, Poland

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  2. H. Troger

    1. Technical University Vienna, Austria

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 319)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-v
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  2. Introduction into the Concepts of Chaos and Some Numerical Methods

    • E. J. Kreuzer
    Pages 1-65

  3. From Chaos to Turbulence in Fluid Dynamics

    • P. Manneville
    Pages 67-137

  4. Singular-Perturbation Homoclinic Hyperchaos

    • O. E. Rossler
    Pages 139-147

  5. Chaotic Motion in Mechanical and Engineering Systems

    • A. Steindl, H. Troger
    Pages 149-223

  6. The Approximate Analytical Methods in the Study of Transition to Chaotic Motion in Nonlinear Oscillators

    • W. Szemplinska-Stupnicka
    Pages 225-277

  7. Chaotic Phenomena Triggering the Escape from a Potential Well

    • J. M. T. Thompson
    Pages 279-309

  8. Fractal Control Boundaries of Driven Oscillators and Their Relevance to Safe Engineering Design

    • J. M. T. Thompson, M. S. Soliman
    Pages 311-325
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Keywords

About this book

The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given.

Editors and Affiliations

  • IPPT-PAN, Warsaw, Poland

    W. Szemplinska-Stupnicka

  • Technical University Vienna, Austria

    H. Troger

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