高间Melnikov方法

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基金项目: 国家自然项目科学基金

Higher-Order Melnikov Method

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.
- Meinikov方法 /
- 次谐分叉 /
- 超次谐分叉
Abstract: In this paper the Melnikoy 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 be proved under certain conditions by use of second-order Melnikov function.
- Melnikov method /
- subharmonic bifurcation /
- hyper-subharmonic bifurcation

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