| 基于降阶方法的分数阶多涡卷混沌系统的同步控制 |
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| 引用本文： | 王春彦,邸金红. 基于降阶方法的分数阶多涡卷混沌系统的同步控制[J]. 山东大学学报(工学版), 2018, 48(5): 91. DOI: 10.6040/j.issn.1672-3961.0.2017.614 |
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| 作者姓名： | 王春彦 邸金红 |
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| 作者单位： | 郑州航空工业管理学院电子通信工程学院, 河南 郑州 450015 |
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| 基金项目： | 河南省科技攻关计划资助项目(172102210080) |
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| 摘 要： | 基于降阶方法研究整数阶分数阶多涡卷混沌系统的同步问题,将三阶分数阶多涡卷混沌系统转化为一阶系统,利用分数阶微积分给出了驱动-响应系统取得混沌同步的充分条件,给出严格的数学证明和推理过程,仿真例子验证了方法的有效性。
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| 关 键 词： | 分数阶 多涡卷系统 降阶 同步 |
| 收稿时间： | 2017-12-14 |
Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method |
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| Chunyan WANG,Jinhong DI. Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method[J]. Journal of Shandong University of Technology, 2018, 48(5): 91. DOI: 10.6040/j.issn.1672-3961.0.2017.614 |
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| Authors: | Chunyan WANG Jinhong DI |
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| Affiliation: | College of Electronic Communication Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China |
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| Abstract: | The problem of synchronization control of intergal-order and fractional-order multi-scroll chaotic systems were studied based on reduced-order method. Third fractional-order multi-scroll system was transferred into a first-order system. The chaotic synchronization sufficient conditions were arrived for the drive-response systems of fractional-order multi-scroll system which acquired synchronization using fractional-order Lyapunov. The strict proof in mathematics was given out, and the simulations examples demonstrated the efficient of the proposed method. |
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| Keywords: | fractional-order multi-scroll systems reduced-order synchronization |
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