%0 Journal Article
%T First integrals and stability of second-order differential equations
%A Xu Xue-Jun
%A Mei Feng-Xiang
%A <br>许学军
%A 梅凤翔
%J 中国物理 B
%D 2006
%I 
%X The stability of second-order differential equations is studied by using their integrals. A system of second-order differential equations can be considered as a mechanical system with holonomic constraints. A conserved quantity of the mechanical system or a part of the system is obtained by using the Noether theory. It is possible that the conserved quantity becomes a Liapunov function and the stability of the system is proved by the Liapunov theorem.
%K differential equation
%K stability
%K Liapunov function
%K Noether theorem<br>微分方程
%K 稳定性
%K Liapunov函数
%K 二阶微分方程
%K Liapunov定理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=257E8E033E0A33D08EFCFEC04A2C40C4&yid=37904DC365DD7266&vid=23CCDDCD68FFCC2F&iid=B31275AF3241DB2D&sid=9F83C44826B8A7D6&eid=BE14F47B38DC36BB&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=7