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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (2): 111-116.

• 论文 •    下一篇

ROAD TO CHAOS FOR A SOFT SPRING SYSTEM UNDER WEAK PERIODIC DISTURBANCE

刘曾荣1, 姚伟国2, 朱照宣3   

  1. 1. Anhui University, Hefei;
    2. Institute of Solid Physics, Beijing;
    3. Peking University, Beijing
  • 收稿日期:1984-12-01 出版日期:1986-02-18 发布日期:1986-02-18

ROAD TO CHAOS FOR A SOFT SPRING SYSTEM UNDER WEAK PERIODIC DISTURBANCE

Liu Zheng-rong1, Yao Wei-guo2, Zhu Zhao-xuan3   

  1. 1. Anhui University, Hefei;
    2. Institute of Solid Physics, Beijing;
    3. Peking University, Beijing
  • Received:1984-12-01 Online:1986-02-18 Published:1986-02-18

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摘要： 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.

关键词: constraint, variation, weight, minimum variance

Abstract: 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.

Key words: constraint, variation, weight, minimum variance

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