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Phys. Rev. E 68, 026204 (2003) [11 pages]

Time-delay autosynchronization of the spatiotemporal dynamics in resonant tunneling diodes

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J. Unkelbach1, A. Amann1, W. Just1,2,*, and E. Schöll1,†
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany
2Institut für Physik, TU Chemnitz, D-09107 Chemnitz, Germany

Received 20 March 2003; published 14 August 2003

The double barrier resonant tunneling diode exhibits complex spatiotemporal patterns including low-dimensional chaos when operated in an active external circuit. We demonstrate how autosynchronization by time-delayed feedback control can be used to select and stabilize specific current density patterns in a noninvasive way. We compare the efficiency of different control schemes involving feedback in either local spatial or global degrees of freedom. The numerically obtained Floquet exponents are explained by analytical results from linear stability analysis.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.026204
DOI:
10.1103/PhysRevE.68.026204
PACS:
05.45.Gg, 02.30.Ks, 85.30.Mn

*Permanent address: School of Mathematical Sciences, Queen Mary/Univ. of London, Mile End Road, London E1 4NS, UK.

Electronic address: schoell@physik.tu-berlin.de