| 整数阶混沌系统与分数阶半导体激光器系统的同步 |
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| 引用本文： | 刘晓君,李险峰,杨丽新,党红刚.整数阶混沌系统与分数阶半导体激光器系统的同步[J].河北师范大学学报(自然科学版),2011,35(6). |
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| 作者姓名： | 刘晓君 李险峰 杨丽新 党红刚 |
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| 作者单位： | 1. 天水师范学院数学与统计学院,甘肃天水,741001
2. 兰州交通大学数理与软件工程学院,甘肃兰州,730070 |
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| 基金项目： | 甘肃省自然科学基金(096RJZE106); 天水师范学院科研基金(TSA1012) |
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| 摘 要： | 为利用混沌同步提高通讯系统的安全性,以一个三维整数阶混沌系统作为驱动系统、分数阶半导体激光器系统作为响应系统,研究了二者之间的混沌同步.分析了2个系统的混沌行为,给出了不同相平面上系统的混沌吸引子;基于分数阶系统稳定性理论,为系统设计了合适的反馈同步控制器,实现了系统间的混沌同步;数值仿真验证了所设计控制器的有效性.
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| 关 键 词： | 整数阶系统 分数阶系统 混沌 自适应同步 |
Synchronization Between an Integer Orders Chaotic System and Fractional-order Optically Injected Semiconductor Lasers Model |
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| LIU Xiaojun,LI Xianfeng,YANG Lixin,DANG Honggang.Synchronization Between an Integer Orders Chaotic System and Fractional-order Optically Injected Semiconductor Lasers Model[J].Journal of Hebei Normal University,2011,35(6). |
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| Authors: | LIU Xiaojun LI Xianfeng YANG Lixin DANG Honggang |
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| Institution: | LIU Xiaojun1,LI Xianfeng2,YANG Lixin1,DANG Honggang1(1.School of Mathematics and Statistics,Tianshui Normal University,Gansu Tianshui 741001,China,2.School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Gansu Lanzhou 730070,China) |
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| Abstract: | In order to make use of chaos synchronization to enhance the security of communication system,the chaos synchronization between a three-dimensional integer orders chaotic system and fractional-order optically injected semiconductor lasers model are studied.The chaotic characteristic of two system is investigated with nonlinear dynamics theory,and chaotic attractors in different phase space are got by numerical simulation.Based on the fractional stability theory,suitable adaptive synchronization controller i... |
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| Keywords: | integer orders system fractional system chaos adaptive synchronization |
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