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中文摘要：
探讨了复平面上Julia集的控制与同步.首先,采用联合控制法来控制不动点的稳定性,得到控制后的Julia集随着控制参数的选择逐渐收缩.其次,采用梯度控制法对2个不同Julia集进行同步控制,得到其中一个Julia集随着控制参数的增大逐渐耦合到另一个Julia集,从而实现2个不同Julia集的同步.通过Matlab作图显示了控制方法的有效性.
英文摘要：
The control and synchronization of Julia sets of the complex standard family are discussed . First ,the united control method is applied on the Julia set of the complex standard family to control the stability of the fixed point .Then the controlled Julia set is shrinking with the controlled parameters .Sec-ond ,the synchronization of Julia sets with the same structure but different parameters are also studied . By substituting the response item for an item with the gradient control method ,Julia set gradually change to be another one .The simulations illustrate the efficacy of these methods by Matlab .
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