| 一个新非自治超混沌四维二次系统及其电路实现 |
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| 引用本文： | 罗小华,李元彬,罗明伟,李锐,李华清.一个新非自治超混沌四维二次系统及其电路实现[J].西南大学学报,2009,31(7). |
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| 作者姓名： | 罗小华 李元彬 罗明伟 李锐 李华清 |
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| 作者单位： | 罗小华,李锐,LUO Xiao-hua,LI Rui(重庆邮电大学,通信与信息工程学院,重庆,400065);李元彬,LI Yuan-bin(重庆邮电大学,基建后勤处,重庆,400065);罗明伟,LUO Ming-wei(重庆邮电大学,自动化学院,重庆,400065);李华清,LI Hua-qing(重庆邮电大学,数理学院,重庆,400065) |
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| 基金项目： | 国家自然科学基金，重庆市教委科学技术资助项目 |
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| 摘 要： | 在三维二次混沌系统的基础上增加一个含控制信号的状态变量,组成一个新的非自治超混沌四维二次系统.该系统的基本动力学特性的变化主要依赖于控制信号频率的改变.通过系统的Lyapunov指数谱、分岔图及数值仿真表明,在不同的频率参数下,该系统能够体现周期、拟周期、混沌、超混沌的动力学特性.最后设计了一个模拟电路,进一步验证了其特性.Abstract：Based on the three-dimensional quadratic chaos system, this paper constructs a new four-dimensional quadratic non-autonomous hyperchaos system by adding a state variable with the controlling signal.The change in the basic dynamics characters of this system is mainly realized by varying the frequency of the controlling signal. The different chaos dynamics characters of this system such as periodicity, quasi periodicity, chaos and hyperchaos at different frequencies is shown by Lyapunov spectrum , bifurcation diagram and numerical simulation. The results of the experiment are further shown to be consistent with the numerical simulation by designing an analog electronic circuit.
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| 关 键 词： | 混沌系统 非自治超混沌系统 调频 电路实现 |
Circuit Implementation for a New Non-Autonomous Hyper-Chaotic Four-Dimensional Quadratic System |
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| LUO Xiao-hua,LI Yuan-bin,LUO Ming-wei,LI Rui,LI Hua-qing.Circuit Implementation for a New Non-Autonomous Hyper-Chaotic Four-Dimensional Quadratic System[J].Journal of Southwest Agricultural University,2009,31(7). |
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| Authors: | LUO Xiao-hua LI Yuan-bin LUO Ming-wei LI Rui LI Hua-qing |
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