Applications of the Moser’s Twist Theorem to Some Impulsive Differential Equations

被引:0
作者
Lu Chen
机构
[1] Fudan University,School of Mathematical Sciences
来源
Qualitative Theory of Dynamical Systems | 2020年 / 19卷
关键词
Lagrange stability; Boundedness; Quasi-periodic solution; Moser’s twist theorem; Impulsive Duffing equation; Primary 34C27; 34B15; 34D15;
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学科分类号
摘要
By KAM theorem, we prove that all solutions of Duffing equations of periodic coefficients undergoing suitable impulses are bounded for all time and that there are many quasi-periodic solutions clustering at infinity.
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