| 高间Melnikov方法 |
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| 引用本文： | 郭友中,刘曾荣,江霞妹,韩志斌.高间Melnikov方法[J].应用数学和力学,1991,12(1):19-30. |
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| 作者姓名： | 郭友中 刘曾荣 江霞妹 韩志斌 |
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| 作者单位： | 1.上海市应用数学和力学研究所; |
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| 摘 要： | 本文把原有Melnikov方法推广到高阶情况.找到了二阶次谐Melnikov函数表达式,并且证明了在一定条件下可以用二阶次谐Melnikov函数来判定系统的次谐或超次谐的存在.
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| 关 键 词： | Meinikov方法 次谐分叉 超次谐分叉 |
| 收稿时间： | 1989-11-30 |
Higher-Order Melnikov Method |
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| Guo You-zhong.Higher-Order Melnikov Method[J].Applied Mathematics and Mechanics,1991,12(1):19-30. |
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| Authors: | Guo You-zhong |
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| Institution: | 1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;2.LNM Institute of Mechanics, Academia Sinica, Beijing;3.Wuhan Institute for Industrial and Applied Mathematics, Wuhan |
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| Abstract: | In this paper the Melnikov method has been generalized to the case of higher-order by finding an explicit expression for second-order subharmonic Melnikov function, and it has been proved that the existence of subharmonic or hyper-subharmonic of a system can bo proved under certain conditions by use of second-order Melnikov function. |
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| Keywords: | Melnikov method subharmonic bifurcation hyper-subharmonic bifurcation |
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