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Phys. Rev. E 75, 066203 (2007) [11 pages]

External forcing and feedback control of nonlinear dissipative waves

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Hidekazu Tokuda1,*, Vladimir S. Zykov2,†, and Takao Ohta1,‡
1Department of Physics, Kyoto University, Kyoto, 606-8502, Japan
2Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany

Received 26 December 2006; published 7 June 2007

The dynamics of traveling waves in a nonlinear dissipative system are studied analytically and numerically. Spatiotemporal forcing and feedback forcing are applied to the traveling waves in a phase-separated system undergoing chemical reactions. The stability of the traveling waves and interesting, unexpected behavior, including the reversal of the propagation direction are analyzed in one dimension. The phase dynamical approach is applied to gain a theoretical understanding of the dynamics.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.75.066203
DOI:
10.1103/PhysRevE.75.066203
PACS:
82.40.Ck, 47.54.−r

*Electronic address: tokuda@ton.scphys.kyoto-u.ac.jp

Electronic address: zykov@raphael.physik.TU-Berlin.DE

Electronic address: takao@scphys.kyoto-u.ac.jp