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| 新的分数阶混沌系统及其同步 | |
| 引用本文： | 朱红兰,张学兵,姚洪兴.新的分数阶混沌系统及其同步[J].数学的实践与认识,2012,42(6):186-192. |
| 作者姓名： | 朱红兰 张学兵 姚洪兴 |
| 作者单位： | 1. 淮阴工学院数理学院,江苏淮安,2230031 2. 淮安信息职业技术学院,江苏淮安,223003 3. 江苏大学理学院,江苏镇江,212013 |
| 摘 要： | 提出一个新的分数阶混沌系统,该系统含有三个参数,三个非线性项.通过理论分析,给出了分数阶混沌系统存在混沌吸引子的必要条件,通过数值仿真给出了混沌吸引子的图像,接着设计自适应同步控制器和参数自适应律,实现分数阶混沌系统的同步,数值仿真的结果表明设计控制器很好的实现了驱动系统和响应系统的同步. |
| 关 键 词： | 分数阶混沌系统 自适应 同步 |
Synchronization of a New Fractional-Order Chaotic System |
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| ZHU Hong-lan , ZHANG xue-bing , YAO Hong-xing.Synchronization of a New Fractional-Order Chaotic System[J].Mathematics in Practice and Theory,2012,42(6):186-192. | |
| Authors: | ZHU Hong-lan ZHANG xue-bing YAO Hong-xing |
| Affiliation: | 1.Faculty of Science Mathematics and Physics,Huaiyin Institute of Technology,Huaian 223003,China) (2.Huaian College of Information Technology,Huaian,223003,China) (3.Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
| Abstract: | In this paper,a new fractional-order chaotic system is presented.There are three control parameters and three different nonlinear term in the governed equations.Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation.And the chaos attractor is presented through the matlab.Follow design synchronization system through adaptive method.The conclusion of the emulation indicates that the method is speediness and efficiency. |
| Keywords: | fractional-order chaotic system Lyapunov exponent Synchronization |
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