Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations

Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations
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一类具有简并平衡点的准周期微分方程在小准周期扰动下的可约性

DOI:
10.1155/2013/386812
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发表时间:
2013-11
影响因子:
--
通讯作者:
Jianguo Si
Jianguo Si
中科院分区:
--
文献类型:
--
作者:
Wenhua Qiu;Jianguo Si

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This paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic transformation. Hence, for the equation we can obtain a small almost-periodic solution.
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