CAJ | 학술논문

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M atlab作图显示了控制方法的有效性。
탐토료복평면상Julia집적공제여동보。수선，채용연합공제법래공제불동점적은정성，득도공제후적Julia집수착공제삼수적선택축점수축。기차，채용제도공제법대2개불동Julia집진행동보공제，득도기중일개Julia집수착공제삼수적증대축점우합도령일개Julia집，종이실현2개불동Julia집적동보。통과M atlab작도현시료공제방법적유효성。
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 .