The approximate decomposition of exponential order of slow–fast motions in multifrequency systems
The approximate decomposition of exponential order of slow–fast motions in multifrequency systems
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DOI：
10.1016/j.jde.2003.09.003
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发表时间：
2004-01
影响因子：
2.4
通讯作者：
Fuzhong Cong
中科院分区：
文献类型：
--
作者：
Fuzhong Cong
This paper deals with multifrequency slow–fast systems. It is shown that, under a suitable change of coordinates, the system can be reduced to a simple form such that slow motions are described by autonomous equations except for exponential error of perturbations. Hence, the fast and slow motions are decoupled. The Newton rapid iteration is used. In addition, for a perturbation, only the smallness condition is needed.
