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| Gradient control and synchronization of Julia sets | |
| 引用本文： | 张永平,刘树堂. Gradient control and synchronization of Julia sets[J]. 中国物理 B, 2008, 17(2): 543-549 |
| 作者姓名： | 张永平 刘树堂 |
| 作者单位： | School of Control Science and Engineering, ShandongUniversity, Jinan 250061, China;School of Control Science and Engineering, ShandongUniversity, Jinan 250061, China |
| 基金项目： | Project supportedby the National Natural Science Foundation of China (Grant No60472112) and a foundation for the author of National ExcellentDoctoral Dissertation of China (FANEDD) (Grant No 200444). |
| 摘 要： | This paper firstly introduces the control methods to fractals and give the definition of synchronization of Julia sets between two different systems. Especially, the gradient control method is taken on the classic Julia sets of complex quadratic polynomial Zn＋1 = zn^2＋ c, which realizes its Julia sets control and synchronization. The simulations illustrate the effectiveness of the method. |
| 关 键 词： | 茹利亚集 梯度控制 同步化 物理学 |
| 收稿时间： | 2007-05-15 |
| 修稿时间： | 2007-05-31 |
Gradient control and synchronization of Julia sets |
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| Zhang Yong-Ping and Liu Shu-Tang. Gradient control and synchronization of Julia sets[J]. Chinese Physics B, 2008, 17(2): 543-549 | |
| Authors: | Zhang Yong-Ping and Liu Shu-Tang |
| Affiliation: | School of Control Science and Engineering, ShandongUniversity, Jinan 250061, China |
| Abstract: | This paper firstly introduces the control methods to fractals andgive the definition of synchronization of Julia sets between twodifferent systems. Especially, the gradient control method is takenon the classic Julia sets of complex quadratic polynomial$z_{n+1}=z_n^2+c$, which realizes its Julia sets control andsynchronization. The simulations illustrate the effectiveness of themethod. |
| Keywords: | Julia set gradient control synchronization |
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