Mathematical Modeling

Control and Chaos

Editors: Mees, A., Vincent, Th.L., Teo, K.L., Judd, K. (Eds.)

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About this book

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.

Table of contents (20 chapters)

  • Triangulating Noisy Dynamical Systems

    Allie, Stuart (et al.)

    Pages 1-11

  • Attractor Reconstruction and Control Using Interspike Intervals

    Sauer, Tim

    Pages 12-24

  • Modeling Chaos from Experimental Data

    Judd, Kevin (et al.)

    Pages 25-38

  • Chaos in Symplectic Discretizations of the Pendulum and Sine-Gordon Equations

    Herbst, B. M. (et al.)

    Pages 39-59

  • Collapsing Effects in Computation of Dynamical Systems

    Diamond, Phil (et al.)

    Pages 60-90

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4612-2446-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-8176-3867-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $139.00
price for USA
  • ISBN 978-1-4612-7540-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Control and Chaos
Editors
  • Alistair Mees
  • Thomas L. Vincent
  • Kok L. Teo
  • Kevin Judd
Series Title
Mathematical Modeling
Series Volume
8
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-2446-4
DOI
10.1007/978-1-4612-2446-4
Hardcover ISBN
978-0-8176-3867-2
Softcover ISBN
978-1-4612-7540-4
Edition Number
1
Number of Pages
342
Topics