Mechanism of Time-Delayed Feedback Control
- 13 January 1997
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (2) , 203-206
- https://doi.org/10.1103/physrevlett.78.203
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.Comment: 4 pages, REVTeX, 4 eps-figures included Phys. Rev. Lett., in press also available at http://athene.fkp.physik.th-darmstadt.de/public/wolfram.htmKeywords
All Related Versions
This publication has 13 references indexed in Scilit:
- Controlling delay-induced chaotic behavior of a semiconductor laser with optical feedbackPhysics Letters A, 1996
- Stability of periodic orbits controlled by time-delay feedbackPhysics Letters A, 1996
- Control of chaos via extended delay feedbackPhysics Letters A, 1995
- Local control of chaotic motionZeitschrift für Physik B Condensed Matter, 1993
- Control of NMR-laser chaos in high-dimensional embedding spacePhysical Review E, 1993
- Continuous control of chaos by self-controlling feedbackPhysics Letters A, 1992
- Stabilizing high-period orbits in a chaotic system: The diode resonatorPhysical Review Letters, 1991
- Driving systems with chaotic signalsPhysical Review A, 1991
- Experimental control of chaosPhysical Review Letters, 1990
- Controlling chaosPhysical Review Letters, 1990