引用本文: | 蒋式勤,胡国四,董家鸣,李亚鹏.时滞反馈Lorenz系统的混沌特性及其电路实现[J].控制理论与应用,2009,26(8):911~914.[点击复制] |
Jiang Shi-qin,Hu Guosi,dongjiaming,Li Yapeng.Chaotic characteristics and circuit implementation in ime-delay feedback Lorenz system[J].Control Theory and Technology,2009,26(8):911~914.[点击复制] |
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时滞反馈Lorenz系统的混沌特性及其电路实现 |
Chaotic characteristics and circuit implementation in ime-delay feedback Lorenz system |
摘要点击 2434 全文点击 2082 投稿时间:2008-03-05 修订日期:2008-09-24 |
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DOI编号 |
2009,26(8):911-914 |
中文关键词 Lorenz系统 时滞反馈 电路实现 混沌吸引子 |
英文关键词 Lorenz system time-delay feedback circuit implementation chaotic attractor |
基金项目 国家自然科学基金资助项目(60771030); 上海市科学发展基金资助项目(054407061). |
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中文摘要 |
在研究时滞反馈Lorenz系统时, 关键是模拟时滞环节的实现. 由于数字时滞电路存在模数转换精度的问题,所以采用数字时滞电路的时滞反馈Lorenz系统容易产生不真实的电路现象. 本文研究了一种用模拟电路实现的时滞电路, 并将其加入到Lorenz系统中构成时滞状态反馈Lorenz系统. 通过对系统的数字仿真和模拟电路的制作和实验, 验证了实验和仿真的结果完全相符, 表明了时滞可以使Lorenz系统产生更复杂拓扑结构的吸引子. |
英文摘要 |
The realization of the time-delay function by analog circuit is the crucial work in a Lorenz system with time-delay state feedback. Digital circuit implementation possibly induces pseudomorph because of the data conversion
precision. A simple solution to this problem is presented in this paper, and the time-delay state feedback Lorenz system is constructed by adding this analog circuit to the Lorenz system. More complicated chaotic attractors can be generated, and the complex dynamics of system is confirmed by numerical simulation and analog circuit implementation. |
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