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时滞反馈Liu系统的动力学行为 被引量:3

DYNAMICAL BEHAVIORS OF LIU SYSTEM TIME DELAYED FEEDBACKS
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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. 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.
出处 《动力学与控制学报》 2007年第3期224-227,共4页 Journal of Dynamics and Control
关键词 时滞反馈 Liu系统 混沌 吸引子 time delayed feedback, Liu system, chaos, attractor
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