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一个时滞自治系统的Hopf分支与混沌控制

Hopf bifurcation with chaos control of a time lay autonomous system
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摘要 利用分支理论讨论了一个时滞自治系统的平衡点的稳定性及出现Hopf分支的条件,并进行了数值模拟,显示了时滞反馈对混沌的控制效果. The paper studied a autonomous system with delay using the theory of bifurcation, then the stability and the condition under which Hopf bifurcation occurs at the equilibrium is obtained,while numerical simulations are also included.
出处 《周口师范学院学报》 CAS 2008年第5期32-33,共2页 Journal of Zhoukou Normal University
关键词 混沌 HOPF分支 稳定性 时滞 chaos Hopf bifurcation stability time lay
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参考文献4

  • 1Hale J, Lunel S. Introduction to functional differential equations[M]. New York: Spring - Verlag,1993.
  • 2Hassard B, Kazarinoff D, Wan Y. Theory and applications of Hopf bifurcation[M]. Cambridge: Cambridge University Press,1981.
  • 3Yongli Song, Junjie Wei. Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos[J]. Chaos, Solitons and Fractals, 2004, 22 : 75 - 91.
  • 4Ruan S, Wei J, On the zeros of transcendentalfunctions with applications to stability of delay differentialequations with two delays, Dyn. Contin. Discrete Impuls[J]. Syst. Set. A Math. Anal. 2003, 10:863-874.

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