Reducibility for a Class of Two Dimensional Almost Periodic System with Quintic Real Polynomial

被引：0
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作者：
Wenhua Qiu
Fanhui Meng
Ting Li
机构：
[1] Zaozhuang University,School of Mathematics and Statistics
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Almost periodic system; KAM method; Degenerate equilibrium point; Reducibility; 37J40; 34C20; 34C27; 34D10;
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摘要：
This paper focuses on the reducibility of almost periodic system with quintic real polynomials. Using the KAM iterative method, the perturbed system can be reduced to a suitable normal form, which has the origin as the equilibrium point, and the transformation is almost periodic. Hence, one proves that the system has almost periodic solutions.
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