高维增广相空间中完整非保守力学系统积分不变量的构造  

The integral invariant construction of holonomic nonconservative dynamical systems in the high-dimensional extended phase space

作　　者：董文山[1] 

机构地区：[1]山东潍坊学院物理与电子科学系,山东潍坊261043

出　　处：《山东大学学报（理学版）》2006年第5期108-111,共4页Journal of Shandong University(Natural Science)

摘　　要：建立了高维增广相空间中完整非保守力学系统的变分方程,并利用系统的正则方程和变分方程证明,可由第一积分直接构造系统的积分不变量,并举例说明结果的应用.The variational equations are established for holonomic nonconservative dynamical systems in the high-dimensional extended phase space. The canonical equations of systems and their variational equations are used to prove that an integral invariant can be directly constructed by the first integral of the systems. Finally one example is given.

关 键 词：增广相空间 变分方程 第一积分 积分不变量 

分 类 号：O316[理学—一般力学与力学基础]