Mechanism of Time-Delayed Feedback Control

Wolfram Just, Thomas Bernard, Matthias Ostheimer, Ekkehard Reibold, and Hartmut Benner
Phys. Rev. Lett. 78, 203 – Published 13 January 1997
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Abstract

The Pyragas method for controlling chaos is investigated in detail from the experimental as well as theoretical point of view. We show by an analytical stability analysis that the revolution around an unstable periodic orbit governs the success of the control scheme. Our predictions concerning the transient behavior of the control signal are confirmed by numerical simulations and an electronic circuit experiment.

  • Received 27 September 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.203

©1997 American Physical Society

Authors & Affiliations

Wolfram Just, Thomas Bernard, Matthias Ostheimer, Ekkehard Reibold, and Hartmut Benner

  • Institut für Festkörperphysik, Technische Hochschule Darmstadt, Hochschulstraße 6, D-64289 Darmstadt, Germany

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Vol. 78, Iss. 2 — 13 January 1997

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