Control of a Chaotic Parametrically Driven Pendulum

John Starrett and Randall Tagg
Phys. Rev. Lett. 74, 1974 – Published 13 March 1995
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Abstract

We have controlled chaos in a pendulum with vertically driven pivot over a range of drive frequencies and damping levels. Using two variations on the OGY method [Ott, Grebogi, and Yorke, Phys. Rev. Lett. 64, 1196 (1990)], and with eddy-current damping as a control parameter, we have stabilized the motion of the pendulum about several of its unstable period-1, -2, and -4 limit cycles. Sampling the angular position at a correct choice of phase within the drive cycle simplified the OGY control rule. A time-proportioning rule was also found to provide robust control.

  • Received 24 January 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.1974

©1995 American Physical Society

Authors & Affiliations

John Starrett1 and Randall Tagg2

  • 1Department of Physics, Metropolitan State College of Denver, Denver, Colorado 80217
  • 2Department of Physics, University of Colorado at Denver, Denver, Colorado 80217

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Vol. 74, Iss. 11 — 13 March 1995

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