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多频激励Duffing系统的分岔和混沌*

毕勤胜 陈予恕 吴志强

毕勤胜, 陈予恕, 吴志强. 多频激励Duffing系统的分岔和混沌*[J]. 应用数学和力学, 1998, 19(2): 113-120.
引用本文: 毕勤胜, 陈予恕, 吴志强. 多频激励Duffing系统的分岔和混沌*[J]. 应用数学和力学, 1998, 19(2): 113-120.
Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces[J]. Applied Mathematics and Mechanics, 1998, 19(2): 113-120.
Citation: Bi Qinsheng, Chen Yushu, Wu Zhiqiang. Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces[J]. Applied Mathematics and Mechanics, 1998, 19(2): 113-120.

多频激励Duffing系统的分岔和混沌*

基金项目: *国家自然科学基金;博士点基金

Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces

  • 摘要: 本文通过引入非线性频率,利用Floquet理论及解通过转迁集时的特性,研究了不可通约两周期激励作用下的Dufing方程在一次近似下的各种分岔模式及其转迁集,并指出其通向混沌可能的途径.
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出版历程
  • 收稿日期:  1995-04-15
  • 修回日期:  1996-06-30
  • 刊出日期:  1998-02-15

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