Liu Zeng-rong, Yao Wei-guo, Zhu Zhao-xuan. Road to Chaos for a Soft Spring System under Weak Periodic Disturbance[J]. Applied Mathematics and Mechanics, 1986, 7(2): 103-108.
Citation: Liu Zeng-rong, Yao Wei-guo, Zhu Zhao-xuan. Road to Chaos for a Soft Spring System under Weak Periodic Disturbance[J]. Applied Mathematics and Mechanics, 1986, 7(2): 103-108.

Road to Chaos for a Soft Spring System under Weak Periodic Disturbance

  • Received Date: 1984-12-01
  • Publish Date: 1986-02-15
  • The Mel'nikov-Holmes method is used to discuss the road to chaos for an elastic system with soft spring constant and under weak periodic disturbance. It is found that according to how the disturbance is applied, forced vibration or parametric excitation, the response may pass to chaos through different sequences of subharmonic bifurcations, and that the orders in the sequences may be different for different disturbance frequencies.
  • loading
  • [1]
    Guckenheimer,J.and P.Holmes,Nonlinear oscillations,Dynamical Systems,and Bifurcation of Vector Fields,Springer-Verlag(1983).
    [2]
    Morozov,A.D.,On the complete qualitative investigation of the equation of duffing,Differentialhiye Uravneniya,12(1976),241-255.
    [3]
    Hsieh,D.Y.,On Mathieu equation with damping,J.Math.Phys.,21(1980),722-725.
    [4]
    Gradshteyn,I.S.and I.M.Ryzhik,Table of Integrals,Series,and Products,Academic Press,8.11(1980).
  • 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 (1726) PDF downloads(669) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return