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

Spatiotemporal chaos control in two-wave driven systems

¹ 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, Beijing, P.R. China

Corresponding author: ^a ganghu@bnu.edu.cn

Received: 13 December 2006
Revised: 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 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.