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高频扰动下同宿轨的Melnikov函数的估计

, PP. 207-210

Keywords: Melnikov函数,分段Lipschitz连续函数,高频扰动

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Abstract:

讨论了高频扰动下同宿轨的Melnikov函数,以Fourier变换为工具,证明了对一般的周期扰动,如果扰动项关于空间变量是Ck(k≥1)的,则当扰动频率ω→∞时,相应的Melnikov函数是O(1/ωk+1)的.

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