| 准周期激扰软弹簧Duffing振子的混沌阀 |
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| 引用本文： | 陈立群,王铁光. 准周期激扰软弹簧Duffing振子的混沌阀[J]. 鞍山科技大学学报, 1994, 0(1) |
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| 作者姓名： | 陈立群 王铁光 |
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| 作者单位： | 鞍山钢铁学院，东北大学 |
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| 摘 要： | 研究了软弹簧Ｄｕｆｆｉｎｇ振子的准周期受迫振动和多数激励振动．分析了相应未受摄动Ｈａｍｉｌｔｏｎ系统的全局结构，应用推广的Ｍｅｌｎｉｋｏｖ方法分别给出两个振系的混沌阈值，最后考虑了增加激励数目的影响。
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| 关 键 词： | 非线性，软弹簧Duffing振子，准周期，Melnikov方法，混沌 |
Chaos Threshold Given from Quasiperiodically Disturbed Soft-Spring Duffing Oscillators |
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| Chen Liqun, Wang Tieguang. Chaos Threshold Given from Quasiperiodically Disturbed Soft-Spring Duffing Oscillators[J]. Journal of Anshan University of Science and Technology, 1994, 0(1) |
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| Authors: | Chen Liqun Wang Tieguang |
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| Affiliation: | Depa. of Mechanical Engineering |
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| Abstract: | The quasiperiodically forced and parametrically excited oscillation of soft-spring Duffing system are treated respectively. The global structure of the corresponding unperturbed Hamiltonian system is analysed. The generalized Melnikov method is used to obtain the chaos threshold of the systems. The effect of the number of excitation on the chaos threshold is remarked. |
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| Keywords: | nonlinearity soft-spring Duffing Oscillator quasiperiod generalized Melnikov'smethod chaos |
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