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Phys. Rev. E 65, 026204 (2002) [7 pages]

External feedback control of chaos using approximate periodic orbits

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Kazuyuki Yagasaki and Moriyoshi Kumagai*
Department of Mechanical and Systems Engineering, Gifu University, Gifu, Gifu 501-1193, Japan

Received 26 March 2001; revised 13 August 2001; published 11 January 2002

We apply the external feedback technique to control chaos in real physical systems. The target, unstable periodic orbits embedded in chaotic attractors are obtained from chaotic time series in terms of the delay coordinates technique. We demonstrate its efficiency for periodically forced, single- and two-degree-of-freedom systems consisting of one or two pendula in numerical simulations and experiments.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.026204
DOI:
10.1103/PhysRevE.65.026204
PACS:
05.45.Gg, 07.05.Dz, 45.80.+r

*Present address: Meikikou Corporation, 180 Higashi, Okute-cho, Toyoake, Aichi 470-1111, Japan.