On the Mechanism of Time--Delayed Feedback Control

Preprint

22 November 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9611012

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

Keywords

NUMERICAL SIMULATIONS
ANALYTICAL STABILITY
TRANSIENT BEHAVIOUR
THEORETICAL POINT
DELAYED FEEDBACK
PYRAGAS METHOD
REVOLUTION
FEEDBACK
CHAOS

All Related Versions

Version 1, 1996-11-22, ArXiv
Published version: Physical Review Letters, 78 (2), 203.

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