| 引用本文: | 崔智勇,陈正诚.时滞扰动Lorenz系统及其同步电路实现[J].控制理论与应用,2013,30(2):266~272.[点击复制] |
| CUI Zhi-yong,CHEN Zheng-cheng.Time-delay perturbation Lorenz system and its synchronous circuit realization[J].Control Theory and Technology,2013,30(2):266~272.[点击复制] |
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| 时滞扰动Lorenz系统及其同步电路实现 |
| Time-delay perturbation Lorenz system and its synchronous circuit realization |
| 摘要点击 2626 全文点击 2080 投稿时间：2012-01-22 修订日期：2012-08-12 |
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| DOI编号 10.7641/CTA.2013.20065 |
| 2013,30(2):266-272 |
| 中文关键词 混沌系统 时滞 电路仿真 同步 |
| 英文关键词 chaotic systems time delay circuit simulation synchronization |
| 基金项目 国家自然科学基金资助项目(11062002); 江西理工大学科研基金资助项目(jxxj12175). |
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| 中文摘要 |
| 以Lorenz系统为模型, 构造一个具有多个正的Lyapunov指数的四维时滞混沌系统, 分析了其基本动力学行为, 并利用滤波网络技术对新系统进行了可切换电路设计. 然后, 基于Lyapunov方法给出了两个相同高维时滞系统的耦合同步条件, 根据所提出的同步方法设计了自同步控制电路. 实验表明了该时滞系统具有丰富的动力学行为, 所设计的同步控制电路结构简单, 易于实现, 能够通过调节部分元件参数获得较好的同步性能. |
| 英文摘要 |
| A four-dimensional chaotic time-delay system with multiple positive Lyapunov exponents is presented based on Lorenz system. Some of its basic dynamical properties are studied, and the switchable circuit of the new system is designed by using filter network technique. The conditions for synchronization between two identical higher-order coupled time-delay systems are put forward by using Lyapunov method. The proposed method is also applied to design synchronous control circuits. Experiment results show that this time-delay system has abundant dynamical behaviors; the designed controller is easily to be implemented in practice; better synchronous performances can be achieved by adjusting component values. |