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The European Physical Journal B

, Volume 59, Issue 1, pp 109–114 | Cite as

Spatiotemporal chaos control in two-wave driven systems

  • G. Tang
  • G. Hu
Interdisciplinary Physics
  • 54 Downloads

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 ω and an additional controlling wave with frequency Ω). 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 Ω-ω while the phases of all modes evolve quasi-periodically with a running frequency Ω overlapped by a small modulation of frequency Ω-ω. 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 

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Copyright information

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

Authors and Affiliations

  1. 1.Department of PhysicsBeijing Normal UniversityBeijingP.R. China
  2. 2.College of Physics and Electronic Engineering, Guangxi Normal UniversityGuilinP.R. China
  3. 3.Beijing-Hong Kong-Singapore Joint center of Nonlinear and Complex Systems Beijing Normal University Branch-BeijingBeijingP.R. China

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