The work deals with control of spatio-temporal chaos in coupled ordinary differential equations. We propose a method based on the following ideas: stabilization of unstable periodic orbits embedded in spatio-temporal chaos, perturbation of minimal number of system variables, and perturbation only at
✦ LIBER ✦
Controlling spatio-temporal chaos via small external forces
✍ Scribed by Shunguang Wu; Kaifen He; Zuqia Huang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 297 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
The spatio-temporal 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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