Pei Qin-yuan, Li Li. The Chaotic Behavior of a Nonlinear Oscillator[J]. Applied Mathematics and Mechanics, 1993, 14(5): 377-387.
Citation: Pei Qin-yuan, Li Li. The Chaotic Behavior of a Nonlinear Oscillator[J]. Applied Mathematics and Mechanics, 1993, 14(5): 377-387.

The Chaotic Behavior of a Nonlinear Oscillator

  • Received Date: 1991-12-02
  • Publish Date: 1993-05-15
  • Behavior of bifurcation and chaos in a forced oscillator =fcosωτ containing a square nonlinear term is investigated by using Mel nikov method and digital computer simulations.
  • loading
  • [1]
    Holmes,P.J.,A nonlinear oscillation with a strange attractor,Phil.Trans.Roy.Soc.London,AI,394(1979),419-448.
    [2]
    Holmes,P.J.and F.C.Moon,Strange attractors and chaos in nonlinear mechanics,ASME J.Appl.Mech.,12(1983),1021-1032.
    [3]
    李继彬、刘曾荣,几类非线性受迫浑沌性质,数学物理学报,5(1986),195-204.
    [4]
    Nestor N.S.and A.H.Nayfeh,Prediction of bifurcations in a parametrically excited duffing Oscillator,Int.J.Non-linear Mechanics,25(1990),163-176.
    [5]
    Minorsky N.,Introduction to Nonlinear Mechanics,J.W.Edwards.Ann.Arbor,Mich.,(1947).
    [6]
    倪皖荪、魏荣爵,含二次作线性项受迫振动系统的分叉和浑沌现象.物理学报,34(1985), 503-511
    [7]
    Guckenheimer,J.and P.J.Holmes,Nonlinear Oscillations,Dynamical Systems and Bifurcation of Vector Field Springer-Verlag,(1983).
    [8]
    郝柏林,分叉、浑沌、奇怪吸引子、湍流和其他,物理学进展,3(1983), 329-416
  • 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 (1861) PDF downloads(575) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return