Invariant tori in nonlinear oscillations

被引：13

作者：

Liu, B ^{[1
]}

Wang, YQ ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1999年 / 42卷 / 10期

基金：

中国国家自然科学基金;

关键词：

invariant tori; semilinear Duffing equations; boundedness of solutions;

D O I：

10.1007/BF02889506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness of all the solutions for semilinear Duffing equation x" + omega(2)x + phi(x) = p(t), omega is an element of R+ \ N is proved, where p(t) is a smooth 2 pi-periodic function and the perturbation phi(x) is bounded.

引用

页码：1047 / 1058

页数：12

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