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Phys. Rev. E 63, 017201 (2000) [2 pages]

Optimized chaos control with simple limiters

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C. Wagner
Institute of Pharmacology, University of Bern, Friedbuehlstrasse 49, CH-3010 Bern, Switzerland

R. Stoop
Institute of Neuroinformatics, University/ETH Zuerich, Winterthurerstrasse 190, CH-8057 Zuerich, Switzerland

Received 29 August 2000; published 18 December 2000

We present an elementary derivation of chaos control with simple limiters using the logistic map and the Henon map as examples. This derivation provides conditions for optimal stabilization of unstable periodic orbits of a chaotic attractor.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.017201
DOI:
10.1103/PhysRevE.63.017201
PACS:
05.45.Gg, 05.45.Vx