| 含二次非线性项准周期激振系统的混沌 |
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| 引用本文： | 陈立群,王铁光.含二次非线性项准周期激振系统的混沌[J].科技通报,1993,9(5):290-293. |
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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 114002 |
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| 摘 要： | 研究了含二次非线性项系统准周期受迫振动和准周期参数激励振动,分析了相应未受援动Hamilton系统的全局结构,应用推广的Melnikov方法建立了混沌存在的必要条件,还考虑了增加激励数目对混沌性态的影响。
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| 关 键 词： | 振动 非线性 准周期 Melnikov 混沌 |
Chaos in Quasiperiodically Disturbed Vibration Systems with a Quadratic Nonlinear Term |
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| Chen Liqun,Wang Tieguang Anshan Institute of Iron and Steel Technology Northeast University.Chaos in Quasiperiodically Disturbed Vibration Systems with a Quadratic Nonlinear Term[J].Bulletin of Science and Technology,1993,9(5):290-293. |
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| Authors: | Chen Liqun Wang Tieguang Anshan Institute of Iron and Steel Technology Northeast University |
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| Institution: | Chen Liqun;Wang Tieguang Anshan Institute of Iron and Steel Technology Northeast University |
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| Abstract: | The quasiperiodically forced and parametric excited vibration systems with a quadratic nonlinear term are
respectively treated. The global structure of the corresponding unperturbed Hamiltonian system is analysed.
The generalized Melnikov method is used to present the necessary condition for appearance of chaos. The ef-
fect of the number of exciton on the chaotic behaviour is examined. |
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| Keywords: | oscillation nonlinearity quasiperiod Melnikov method chaos |
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