Controlling spatio-temporal chaos via small external forces |
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Institution: | 1. Queen Square UCL Institute of Neurology, University College London, Queen Square, London, WC1N 3BG, UK;2. Gatsby Computational Neuroscience Unit, University College London, 25 Howland Street, London, W1T 4JG, UK |
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Abstract: | 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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