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Phys. Rev. Lett. 89, 074101 (2002) [4 pages]

Giant Improvement of Time-Delayed Feedback Control by Spatio-Temporal Filtering

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Nilüfer Baba, Andreas Amann, and Eckehard Schöll
Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany

Wolfram Just *,†
Theoretische Physik I, TU-Chemnitz, D-09107 Chemnitz, Germany

Received 19 July 2001; published 26 July 2002

Control of spatio-temporal chaos by the time-delay autosynchronization method is improved by several orders of magnitude. Unstable time periodic patterns are efficiently stabilized if one employs filters and couplings which originate from the Floquet eigenvalue problem of the unstable orbit. We illustrate our scheme by an application to a globally coupled reaction-diffusion model which describes charge transport in semiconductor devices.


©2002 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.89.074101
DOI: 10.1103/PhysRevLett.89.074101
PACS: 05.45.Gg, 02.30.Ks, 05.45.Jn

* Email address: wolfram.just@physik.tu-chemnitz.de
† Permanent address: School of Mathematical Sciences, Queen Mary/University of London, Mile End Road, London E1 4NS, U.K.

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