| 三参数强非线性系统的周期振动与分叉 |
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| 引用本文： | 徐兆. 三参数强非线性系统的周期振动与分叉[J]. 中山大学学报(自然科学版), 1995, 34(1): 18-23 |
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| 作者姓名： | 徐兆 |
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| 作者单位： | 中山大学应用力学与工程系 |
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| 摘 要： | 研究一类含三参数强非线性自激振动系统的周期振动随参数的变化而产生、分叉及消失过程以及稳定性特性。给出系统的振幅与参数的近似关系式，以及若干情形的振幅与参数曲线、参数的分叉值和周期解的相图。
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| 关 键 词： | 三参数系统，周期振动，分叉 |
The Periodic Vibrations and Bifurcations of a strongly Nonlinear System with Three Parameters |
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| Huang Chengbiao,Xu Zhao. The Periodic Vibrations and Bifurcations of a strongly Nonlinear System with Three Parameters[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 1995, 34(1): 18-23 |
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| Authors: | Huang Chengbiao Xu Zhao |
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| Abstract: | The processes of the generating,bifurcating and vanishing and the character-istics of the stability of the periodic vibrations follow in the variation of the parametersfor the strongly nonlinear autonomous vibration system with three parameters are stud-ied.And the approximate relationship between the amplitude and the parameters as wellas the curves of the amplitude-parameters, the bifurcations of the parameters,and thephase diagrams are given. |
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| Keywords: | three parameters system periodic vibration bifurcation |
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