简介：

简介：

简介：分叉的反控制指由适当控制与特别需要的性质和地点创造某个分叉的任务。我们考虑，经由反馈控制和符号的计算，在混乱的刘系统的Hopf分叉的反控制的问题。我们建议一个反控制计划并且证明与不受管束的系统相比，控制反的刘系统能在一个大得多的参数区域展出Hopf分叉。使用的反控制策略保留刘系统和罐头的平衡结构被使用与比较喜欢的稳定性在需要的地点产生Hopf分叉。我们在不同操作条件下面说明反控制途径的效率。

简介：Controlofthespatiotemporalpatternsnearthecodimension-threeTuring–Hopf–Wavebifurcationsisstudiedbyusingtime-delayedfeedbackinathree-variableBrusselatormodel.LinearstabilityanalysisofthesystemshowsthatthecompetitionamongtheTuring-,Hopf-andWave-modes,thewavenumber,andtheoscillationfrequencyofpatternscanbecontrolledbychangingthefeedbackparameters.TheroleofthefeedbackintensityPuplayedoncontrollingthepatterncompetitionisequivalenttothatofPw,butoppositetothatofPv.TheroleofthefeedbackintensityPuplayedoncontrollingthewavenumberandoscillationfrequencyofpatternsisequivalenttothatofPv,butoppositetothatofPw.Whentheintensitiesoffeedbackareappliedequally,changingthedelayedtimecouldnotalterthecompetitionamongthesemodes,however,itcancontroltheoscillationfrequencyofpatterns.Theanalyticalresultsareverifiedbytwo-dimensional(2D)numericalsimulations.