中国物理B ›› 2008, Vol. 17 ›› Issue (2): 569-572.doi: 10.1088/1674-1056/17/2/035

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Dynamical behaviour of Liu system with time delayed feedback

钱 勤, 王 琳, 倪 樵   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2007-02-07 修回日期:2007-07-11 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the Science Foundation of Huazhong University of Science and Technology (Grant No 2006Q003B).

Dynamical behaviour of Liu system with time delayed feedback

Qian Qin(钱勤), Wang Lin(王琳)†, and Ni Qiao(倪樵)   

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2007-02-07 Revised:2007-07-11 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the Science Foundation of Huazhong University of Science and Technology (Grant No 2006Q003B).

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摘要： This paper investigates the dynamical behaviour of the Liu system with time delayed feedback. Two typical situations are considered and the effect of time-delay parameter on the dynamics of the system is discussed. It is shown that the Liu system with time delayed feedback may exhibit interesting and extremely rich dynamical behaviour. The evolution of the dynamics is shown to be complex with varying time-delay parameter. Moreover, the strange attractor like `wormhole' is detected via numerical simulations.

关键词: Liu system, time delayed feedback, dynamical behaviour, strange attractor

Abstract: This paper investigates the dynamical behaviour of the Liu system with time delayed feedback. Two typical situations are considered and the effect of time-delay parameter on the dynamics of the system is discussed. It is shown that the Liu system with time delayed feedback may exhibit interesting and extremely rich dynamical behaviour. The evolution of the dynamics is shown to be complex with varying time-delay parameter. Moreover, the strange attractor like `wormhole' is detected via numerical simulations.

Key words: Liu system, time delayed feedback, dynamical behaviour, strange attractor

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a