On small perturbation of four-dimensional quasi-periodic system with degenerate equilibrium point
On small perturbation of four-dimensional quasi-periodic system with degenerate equilibrium point
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DOI：
10.3934/cpaa.2015.14.421
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发表时间：
2014-12
影响因子：
1
通讯作者：
Wenhua Qiu;Jianguo Si
中科院分区：
文献类型：
--
作者：
Wenhua Qiu;Jianguo Si
研究了四维非线性拟周期系统的拟周期扰动问题。利用KAM方法，通过一个拟周期变换，可以将摄动系统降阶到一个以零点为平衡点的适当规范形。因此，扰动系统在平衡点附近有一个拟周期解。
This paper focuses on quasi-periodic perturbation of four dimensional nonlinear quasi-periodic system. Using the KAM method, the perturbed system can be reduced to a suitable normal form with zero as equilibrium point by a quasi-periodic transformation. Hence, the perturbed system has a quasi-periodic solution near the equilibrium point.