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时滞反馈Liu系统的动力学行为
引用本文:王琳,倪樵,黄玉盈. 时滞反馈Liu系统的动力学行为[J]. 动力学与控制学报, 2007, 5(3): 224-227
作者姓名:王琳  倪樵  黄玉盈
作者单位:华中科技大学力学系,武汉,430074;华中科技大学力学系,武汉,430074;华中科技大学力学系,武汉,430074
摘    要:研究了具有时滞反馈项作用的Liu系统.文中针对两种典型的时滞反馈情形,着重分析了时滞参数对系统动力学行为的影响.研究结果表明,当Liu系统存有时滞反馈时,其动力学行为将变得异常丰富;时滞参数的改变可引起系统复杂的动力学演化.此外,数值计算还发现了时滞Liu系统的虫洞吸引子.

关 键 词:时滞反馈  Liu系统  混沌  吸引子
收稿时间:2006-11-30
修稿时间:2006-11-302007-04-20

Dynamical behaviors of Liu system with time delayed feedbacks
Wang Lin,Ni Qiao and Huang Yuying. Dynamical behaviors of Liu system with time delayed feedbacks[J]. Journal of Dynamics and Control, 2007, 5(3): 224-227
Authors:Wang Lin  Ni Qiao  Huang Yuying
Affiliation:Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:Liu system with time delayed feedbacks was investigated.Two typical situations were considered,and the effect of time-delay parameter on the dynamics of the system was focused.It is shown that Liu system with time delayed feedbacks may exhibit interesting and extremely rich dynamical behaviors.The evolutions of the dynamics are shown to be complex with varying time-delay parameters.Moreover,the strange attractor like "vormhole" was detected via numerical simulations.
Keywords:time delayed feedback  Liu system  chaos  attractor
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