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Control and Chaos

  • Kevin Judd
  • Alistair Mees
  • Kok Lay Teo
  • Thomas L. Vincent

Part of the Mathematical Modelling book series (MMO, volume 8)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Understanding Complex Dynamics

    1. Stuart Allie, Alistair Mees, Kevin Judd, Dave Watson
      Pages 1-11
    2. Kevin Judd, Alistair Mees
      Pages 25-38
    3. Phil Diamond, Peter Kloeden, Aleksej Pokrovskii
      Pages 60-90
    4. Colin Sparrow
      Pages 91-105
  3. Controlling Complex Systems

    1. Edward Ott, Brian R. Hunt
      Pages 134-141
    2. Walter J. Grantham, Amit M. Athalye
      Pages 142-157
    3. Eric J. Kostelich, Ernest Barreto
      Pages 158-169
    4. Petar V. Kokotović, Miroslav Krstić
      Pages 170-182
    5. Kathryn Glass, Michael Renton, Kevin Judd, Alistair Mees
      Pages 183-196
    6. John B. Moore
      Pages 197-206
    7. Mirko Paskota, Kok Lay Teo, Alistair Mees
      Pages 207-225
    8. Iven M. Y. Mareels
      Pages 226-250
  4. Applications

    1. Thomas L. Vincent
      Pages 260-277
    2. Yosef Cohen, Thomas L. Vincent
      Pages 278-303
    3. Masataka Watanabe, Kazuyuki Aihara, Shunsuke Kondo
      Pages 320-333

About these proceedings

Introduction

This volume contains the proceedings of the US-Australia workshop on Control and Chaos held in Honolulu, Hawaii from 29 June to 1 July, 1995. The workshop was jointly sponsored by the National Science Foundation (USA) and the Department of Industry, Science and Technology (Australia) under the US-Australia agreement. Control and Chaos-it brings back memories of the endless reruns of "Get Smart" where the good guys worked for Control and the bad guys were associated with Chaos. In keeping with current events, Control and Chaos are no longer adversaries but are now working together. In fact, bringing together workers in the two areas was the focus of the workshop. The objective of the workshop was to bring together experts in dynamical systems theory and control theory, and applications workers in both fields, to focus on the problem of controlling nonlinear and potentially chaotic systems using limited control effort. This involves finding and using orbits in nonlinear systems which can take a system from one region of state space to other regions where we wish to stabilize the system. Control is used to generate useful chaotic trajectories where they do not exist, and to identify and take advantage of useful ones where they do exist. A controller must be able to nudge a system into a proper chaotic orbit and know when to come off that orbit. Also, it must be able to identify regions of state space where feedback control will be effective.

Keywords

Nonlinear system bifurcation complex system complex systems equation optimization system

Editors and affiliations

  • Kevin Judd
    • 1
  • Alistair Mees
    • 1
  • Kok Lay Teo
    • 1
  • Thomas L. Vincent
    • 2
  1. 1.Center for Applied Dynamics and Optimization, Department of MathematicsThe University of Western AustraliaPerthAustralia
  2. 2.Aerospace and Mechanical EngineeringUniversity of ArizonaTucsonUSA

Bibliographic information

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