Issue Eur. Phys. J. B Volume 59, Number 1, September I 2007 Page(s) 109 - 114 DOI 10.1140/epjb/e2007-00257-5 Published online 28 September 2007

Eur. Phys. J. B 59, 109-114 (2007)
DOI: 10.1140/epjb/e2007-00257-5

Spatiotemporal chaos control in two-wave driven systems

G. Tang^{1, 2} and G. Hu<sup>1, 3

1</sup>  Department of Physics, Beijing Normal University, 100875 Beijing, P.R. China
²  College of Physics and Electronic Engineering, Guangxi Normal University, 541004 Guilin, P.R. China
³  Beijing-Hong Kong-Singapore Joint center of Nonlinear and Complex Systems Beijing Normal University Branch-Beijing, P.R. China

ganghu@bnu.edu.cn

(Received 13 December 2006 / Received in final form 4 August 2007 / Published online 28 September 2007)

Abstract
Spatiotemporal chaos control is considered by taking a one-dimensional driven/damped nonlinear drift-wave equation as a model. We apply an additional sinusoidal wave to suppress spatiotemporal chaos, and the system becomes a two-sinusoidal-wave driven system (the original driving wave with frequency and an additional controlling wave with frequency ). Numerical simulations show that when the frequency of the controlling wave is in the proper range, spatiotemporal chaos can be modified into a regular state where the amplitudes of all modes vary periodically with frequency while the phases of all modes evolve quasi-periodically with a running frequency overlapped by a small modulation of frequency . The physical reason for this peculiar phenomenon is attributed to a frequency entrainment in the competition of the two external waves.

PACS
05.45.Gg - Control of chaos, applications of chaos.
47.27.Rc - Turbulence control.
52.35.Kt - Drift waves.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2007

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