一类二阶周期系统的Lagrangian稳定性
Lagrangian Stability of a Class of Second-Order Periodic Systems
DOI: 10.12677/PM.2013.36060, PDF, HTML,  被引量 下载: 2,512  浏览: 7,792  国家自然科学基金支持
作者: 江舜君：南京工业大学理学院，南京
关键词: 可逆系统；KAM定理；解的有界性；Reversible System; KAM Theorem; Boundedness of Solutions
摘要: 用KAM迭代方法研究了下列二阶微分方程：。当与的导数满足一定条件时，利用关于可逆映射的小扭转定理得到拟周期解的存在性与所有解的有界性。
Abstract: By the iteration of KAM, the following second-order differential equation:is studied. Under some assumptions on the parities of and by a small twist theorem of reversible mapping, the existence of quasi-periodic solutions and boundedness of all the solutions are obtained.
文章引用：江舜君. 一类二阶周期系统的Lagrangian稳定性[J]. 理论数学, 2013, 3(6): 394-398. http://dx.doi.org/10.12677/PM.2013.36060

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