Controlling spatiotemporal chaos via small external forces

Details Controlling spatiotemporal chaos via small external forces Controlling spatiotemporal chaos via small external forces

1999-08-08

arxiv.org/abs/chao-dyn/9908014v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, Latex, including 5 eps Figures. Accepted by PLA

Scientific paper

10.1016/S0375-9601(99)00539-3

The spatiotemporal chaos in the system described by a one-dimensional nonlinear drift-wave equation is controlled by directly adding a periodic force with appropriately chosen frequencies. By dividing the solution of the system into a carrier steady wave and its perturbation, we find that the controlling mechanism can be explained by a slaving principle. The critical controlling time for a perturbation mode increases exponentially with its wave number.

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