Yang Ling, Liu Zengrong. An Improvement and Proof of OGY Method[J]. Applied Mathematics and Mechanics, 1998, 19(1): 1-7.
Citation: Yang Ling, Liu Zengrong. An Improvement and Proof of OGY Method[J]. Applied Mathematics and Mechanics, 1998, 19(1): 1-7.

An Improvement and Proof of OGY Method

  • Received Date: 1996-08-05
  • Rev Recd Date: 1997-07-15
  • Publish Date: 1998-01-15
  • OGY method is the most important method of controlling chaos. It stabilizes a hyperbolic periodic orbit by making small perturbations for a system parameter. This paper improves the method of choosing parameter, and gives a mathematics proof of it.
  • loading
  • [1]
    E.Ott,C.Grebogi and J.A.Yorke,Contlling chaos,Phys.Rev.Lett.,64(1990),1196-1199.
    [2]
    H.A.Lauwerier,The structure of a strange attractor,Phys.21D(1986),146-154.
    [3]
    W.L.Ditto,et.al.,Experimental control of chaos,Phys.Rev.Lett.,65(1990),3211-3214.
    [4]
    J.Singer,et.al,Controlling a chaotic system,Phys.Rev.Lett.,66(1992),1123-1125.
    [5]
    D.Auerbach,et.al.,Controlling chaos in high dimensional system,Phys.Rev.Lett,69(1992),3479.
    [6]
    K.Phragas,Continues control of chaos by self-controlling feedback,Phys.Rev.A,170(1992),3479-3482.
    [7]
    V.Petrov,et.al.,A map-based algorithm for controlling low-dimensional chaos,J.Phys.Chem,96(1992),7506-7513.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2250) PDF downloads(687) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return