Controlling Chaos with Simple Limiters

Ned J. Corron, Shawn D. Pethel, and Buckley A. Hopper
Phys. Rev. Lett. 84, 3835 – Published 24 April 2000
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Abstract

New experimental results demonstrate that chaos control can be accomplished using controllers that are very simple relative to the system being controlled. Chaotic dynamics in a driven pendulum and a double scroll circuit are controlled using an adjustable, passive limiter—a weight for the pendulum and a diode for the circuit. For both experiments, multiple unstable periodic orbits are selectively controlled using minimal perturbations. These physical examples suggest that chaos control can be practically applied to a much wider array of important problems than initially thought possible.

  • Received 5 October 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.3835

©2000 American Physical Society

Authors & Affiliations

Ned J. Corron1, Shawn D. Pethel2, and Buckley A. Hopper1

  • 1Dynetics, Inc., P.O. Box 5500, Huntsville, Alabama 35814
  • 2U.S. Army Aviation and Missile Command, AMSAM-RD-WS-ST, Redstone Arsenal, Alabama 35898

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Issue

Vol. 84, Iss. 17 — 24 April 2000

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