| 非等同广义离散超混沌系统的多同步研究 |
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| 引用本文： | 欧阳超常,陈菊芳,彭建华. 非等同广义离散超混沌系统的多同步研究[J]. 深圳大学学报(理工版), 2012, 29(3): 57-61 |
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| 作者姓名： | 欧阳超常 陈菊芳 彭建华 |
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| 作者单位： | 1. 深圳大学物理科学与技术学院,深圳,518060
2. 东北师范大学物理学院,长春,130024 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 提出用广义依农映像和广义立方映像两个离散超混沌系统,在单向驱动控制信号的作用下,构建了非等同超混沌同步的驱动-响应系统,根据离散系统局域稳定性理论,确定这一系统在不同维数下出现完全同步和完全反同步、广义同步和广义反同步的解析条件,设计和构建非等同超混沌系统的实验电路,依据理论分析得到的参数范围,通过数值计算和测量实验电路,所得到的结果均与理论分析的结果相符合.研究结果表明,恰当选择单路驱动控制信号,也可实现非等同超混沌离散系统多种类型的同步.
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| 关 键 词： | 高维混沌 广义离散超混沌系统 单路驱动信号 非等同系统 多同步态 电路实验 |
Multiple synchronization of two non-identical generalized hyperchaotic systems |
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| OUYANG Chao-chang , CHEN Ju-fang , PENG Jian-hua. Multiple synchronization of two non-identical generalized hyperchaotic systems[J]. Journal of Shenzhen University(Science &engineering), 2012, 29(3): 57-61 |
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| Authors: | OUYANG Chao-chang CHEN Ju-fang PENG Jian-hua |
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| Affiliation: | 1) College of Physics and Technology,Shenzhen University,Shenzhen 518060,P.R.China; 2) College of Physics,Northeast Normal University,Changchun 130024,P.R.China |
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| Abstract: | Multiple synchronization phenomena between the generalized Hénon maps and the generalized cubic map non-identical discrete-time hyperchaotic systems were observed.These two systems were unidirectionally coupled with the drive-response synchronization scheme by a single driving signal.By using the local stability theory of discrete systems,the analytical conditions of the complete synchronization,anti-synchronization and generalized synchronization for the systems in different dimensions were derived respectively.The experimental circuits for both the generalized Hénon maps and the generalized cubic map and several observed numerical simulations are also designed.Results indicate consistency with the theoretical analysis for the synchronization. |
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| Keywords: | higher-dimensional chaos generalized discrete-time hyperchaotic system single driving signal non-identical system multiple synchronization circuit experiment |
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