| Julia集的广义同步 |
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| 引用本文： | 张永平,范玉军.Julia集的广义同步[J].控制理论与应用,2009,26(4):463-467. |
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| 作者姓名： | 张永平 范玉军 |
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| 作者单位： | 1. 山东大学,控制科学与工程学院,山东,济南,250061;山东大学威海分校,数学与统计学院,山东,威海,264209
2. 德州职业技术学院,山东,德州,253034 |
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| 基金项目： | 国家自然科学基金资助项目(60874009); 全国百篇优秀博士论文专项基金资助项目(200444). |
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| 摘 要： | 研究了两个不同的Julia集耦合实现广义同步的问题. 不同于以往对Julia集的研究仅限于对一个独立的Julia集的性质, 制图等方面的讨论, 本文提出了两个不同的Julia集广义同步的思想, 并以经典的复二次多项式系统zn+1 = z2n+c为例, 分别采用线性和非线性耦合的方法对该系统不同参数的Julia集进行了广义同步. 仿真结果表明了方法的有效性.
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| 关 键 词： | Julia集 广义同步 分形 |
| 收稿时间： | 2007/4/23 0:00:00 |
| 修稿时间： | 2008/8/29 0:00:00 |
Generalized synchronization of Julia sets |
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| ZHANG Yong-ping and FAN Yu-jun.Generalized synchronization of Julia sets[J].Control Theory & Applications,2009,26(4):463-467. |
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| Authors: | ZHANG Yong-ping and FAN Yu-jun |
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| Affiliation: | School of Control Sciences and Engineering, Shandong University, Jinan Shandong 250061, China; School of Mathematics and Statistics, Shandong University at Weihai, Weihai Shandong 264209, China;Dezhou Vocational and Technical College, Dezhou Shandong 253034, China |
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| Abstract: | The generalized synchronization of two different Julia sets with coupling is investigated. Being different from the past studies on Julia set which were limited to the properties and the graph of a single Julia set, our work of generalized synchronization is concerned with two different Julia sets. The classical complex quadratic polynomial system zn+1 = z2n+c is taken as an example, to which we respectively apply the linear and nonlinear generalized synchronization methods and achieve the generalized synchronization of Julia sets with two different parameters. Simulation results show the efficacy of these methods. |
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| Keywords: | Julia set generalized synchronization fractal |
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