| 关于含二次非线性项受迫振动系统的混沌现象 |
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| 引用本文： | 陈立群.关于含二次非线性项受迫振动系统的混沌现象[J].物理学报,1989,38(11):1874-1876. |
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| 作者姓名： | 陈立群 |
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| 作者单位： | 鞍山钢铁学院 |
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| 摘 要： | 本文用Melnikov方法得到了含二次非线性项受迫振动系统的混沌阈值,分析了参数对阈值的影响,与以往用近似二维叠代和数值积分的结果进行了比较。
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| 关 键 词： | 受迫振动 混沌现象 混沌阈值 |
| 收稿时间： | 1/9/1989 12:00:00 AM |
ON THE PHENOMENA OF CHAOS IN A FORCED VIBRATION SYSTEM WITH A SQUARE NONLINEAR TERM |
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| CHEN LI-QUN.ON THE PHENOMENA OF CHAOS IN A FORCED VIBRATION SYSTEM WITH A SQUARE NONLINEAR TERM[J].Acta Physica Sinica,1989,38(11):1874-1876. |
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| Authors: | CHEN LI-QUN |
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| Abstract: | In this paper, the threshold of chaos in a forced vibration system with a square nonlinear term is given by using the Melnikov method. The effects of parameters on the threshold are analyzed. The known results obtained respectively by approximate 2-D iterated map and by numerically integrating the differential equation are compared with the results here. |
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