Solitary Wave and Wavelet

Solitary Wave and Wavelet
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孤立波和小波

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
Liang Fu
Liang Fu
中科院分区:
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文献类型:
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作者:
Liu Shi;Fu Zun;Liu Shi;Xin Guojun;Liang Fu

文献摘要

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本文证明了在迭代泛函系统中存在同宿轨道,也存在孤立波结构。此外,Harr父小波、Mexican Cap小波等闭型小波也具有这种孤立波结构。所以小波是一种孤立波。
In this paper, it is shown that the homoclinic orbits exist in iterated functional systems, so do the solitary wave structures. Moreover, Harr father wavelet, Mexican Cap wavelet, and other closed form wavelets have this solitary wave structure, too. So wavelet is a certain kind of solitary wave.