| 时滞反馈Lorenz混沌系统的复杂动力学特性 |
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| 引用本文： | 白连军,蒋式勤,徐鉴,杨凡.时滞反馈Lorenz混沌系统的复杂动力学特性[J].同济大学学报(自然科学版),2005,33(12):1691-1695. |
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| 作者姓名： | 白连军 蒋式勤 徐鉴 杨凡 |
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| 作者单位： | 1. 同济大学,信息与控制工程系,上海,200092
2. 同济大学,航空航天与力学学院,上海,200092 |
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| 基金项目： | 上海市科委基金资助项目(054407061) |
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| 摘 要： | 讨论了线性时滞反馈项作用于Lorenz方程时对系统产生的影响.研究表明,时滞作为一个控制参量能够改变系统的动力学特性.引入时滞的系统表现出异常丰富的动力学行为,如周期运动、概周期运动以及混沌运动.研究也得到了几个新的混沌吸引子,如与陈氏吸引子类似的三卷吸引子以及虫洞吸引子等.
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| 关 键 词： | 时滞反馈 混沌 控制 分岔 Lorenz系统 |
| 文章编号： | 0253-374X（2005）12-1691-05 |
| 收稿时间： | 09 8 2004 12:00AM |
| 修稿时间： | 2004-09-08 |
Complex Dynamics in Lorenz System Due to Time Delayed Feedbacks |
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| BAI Lian-jun,JIANG Shi-qin,XU Jian,YANG Fan.Complex Dynamics in Lorenz System Due to Time Delayed Feedbacks[J].Journal of Tongji University(Natural Science),2005,33(12):1691-1695. |
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| Authors: | BAI Lian-jun JIANG Shi-qin XU Jian YANG Fan |
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| Institution: | 1. School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China; 2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
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| Abstract: | In this paper,the effects of linear time delayed feedbacks derived from Lorenz equation are investigated.It has been found that the time delay as a control parameter affects the dynamics of the system under consideration and the delayed system may exhibit exceedingly complicated dynamic behaviors,including periodic,quasi-periodic,chaotic motions.Some new chaotic attractors are shown,for instance,a 3-scroll attractor similar to Chen's attractor and another very strange attractor like "wormhole" etc. |
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| Keywords: | time delay feedback chaos control bifurcation Lorenz system |
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