基于线性控制的分数阶混沌系统的对偶投影同步

张玮玮; 吴然超

doi:10.21656/1000-0887.360356

基于线性控制的分数阶混沌系统的对偶投影同步

doi: 10.21656/1000-0887.360356

张玮玮¹,
吴然超²

¹安庆师范大学数学与计算科学学院, 安徽安庆 246133;²安徽大学数学科学学院, 合肥 230039

基金项目: 国家自然科学基金(11571016); 教育部博士点专项基金（20093401120001）;安徽省自然科学基金(11040606M12;1608085MA14);安徽省高等学校自然科学研究重点项目(KJ2015A152);安徽省高校自然科学研究基金(AQKJ2014B012)

详细信息

作者简介:
张玮玮（1982—），男，讲师，硕士(通讯作者. E-mail: wwzhahu@aliyun.com);吴然超（1971—），男，教授，博士，博士生导师.

中图分类号: O415.5;O151
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- 文章访问数: 1255
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出版历程
- 收稿日期: 2015-12-29
- 修回日期: 2016-01-24
- 刊出日期: 2016-07-15

Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller

ZHANG Wei-wei¹,
WU Ran-chao²

¹School of Mathematics & Computation Science, Anqing Normal University, Anqing, Anhui 246133, P.R.China;²School of Mathematical Sciences, Anhui University, Hefei 230039, P.R.China

Funds: The National Natural Science Foundation of China(11571016)

摘要

摘要: 分数阶混沌系统的对偶同步是一个新的同步方法.有关分数阶混沌系统对偶投影同步的研究较少.基于分数阶系统的稳定性理论，通过设计线性控制器研究了分数阶混沌系统的对偶投影同步.给出了一个实现分数阶混沌系统对偶投影同步的一般方法,推广了现有对偶同步的研究结果，通过分数阶Van der Pol系统和分数阶Willis系统的数值仿真证实了该方法的有效性.
- 对偶投影同步 /
- 分数阶 /
- 混沌系统 /
- 线性
Abstract: The dual synchronization of fractional-order chaotic systems is a new method of synchronization. There was few study on the dual projective synchronization of fractional-order chaotic systems. With a linear signal, the dual projective synchronization of fractional-order chaotic systems was investigated. Based on the stability theory of the fractional-order systems, a general method was proposed. Furthermore, the work extends the previous research of dual synchronization. Finally, the dual projective synchronizations of the fractional-order Van der Pol system and the fractional-order Willis system were numerically simulated. The corresponding results show the effectiveness of the present method.
- dual projective synchronization /
- fractional order /
- chaotic system /
- linear

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参考文献(15)

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文章访问数: 1255
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基于线性控制的分数阶混沌系统的对偶投影同步

doi: 10.21656/1000-0887.360356

作者简介:
张玮玮（1982—），男，讲师，硕士(通讯作者. E-mail: wwzhahu@aliyun.com);吴然超（1971—），男，教授，博士，博士生导师.

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Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller

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基于线性控制的分数阶混沌系统的对偶投影同步

doi: 10.21656/1000-0887.360356

作者简介: 张玮玮（1982—），男，讲师，硕士(通讯作者. E-mail: wwzhahu@aliyun.com);吴然超（1971—），男，教授，博士，博士生导师.

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出版历程

Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller

计量

出版历程

目录

作者简介:
张玮玮（1982—），男，讲师，硕士(通讯作者. E-mail: wwzhahu@aliyun.com);吴然超（1971—），男，教授，博士，博士生导师.