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Controlling spatio-temporal extreme events by decreasing the localized energy
Authors:Lin Du  Wei XuZhanguo Li  Bingchang Zhou
Affiliation:Department of Mathematics, Northwestern Polytechnical University, Xi?an, Shaanxi 710072, China
Abstract:The problem of controlling extreme events in spatially extended dynamical systems is investigated in this Letter. Based on observations of the system state, the control technique we proposed locally decreases the spatial energy of the amplitude in the vicinity of the highest burst, without needs of any knowledge or prediction of the system model. Considering the specific Complex Ginzburg-Landau equation, we provide theoretical analysis for designing the localized state feedback controller. More exactly, a simple control law by varying a damping parameter at control region is chose to achieve the control. Numerical simulations and statistic analysis demonstrate that extreme events can be efficiently suppressed by our strategy. In particular, the cost of the control and the tolerant time delay in applying the control is considered in detail.
Keywords:Extreme event   Control   Complex Ginzburg-Landau   Energy   State feedback
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