On the Mechanism of Time--Delayed Feedback Control

Details On the Mechanism of Time--Delayed Feedback Control On the Mechanism of Time--Delayed Feedback Control

1996-11-22

arxiv.org/abs/chao-dyn/9611012v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, REVTeX, 4 eps-figures included Phys. Rev. Lett., in press also available at http://athene.fkp.physik.th-darmstadt.d

Scientific paper

10.1103/PhysRevLett.78.203

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 behaviour of the control signal are confirmed by numerical simulations and an electronic circuit experiment.

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