Poincaré-Chetaev方程的守恒定理及其逆定理(英文)  

Conservation Theorem and its Inverse Theorem for Poincaré-Chetaev's Equations

作　　者：乔永芬[1] 赵淑红[1] 李仁杰[1] 

机构地区：[1]东北农业大学工程学院,黑龙江哈尔滨150030

出　　处：《湖南文理学院学报（自然科学版）》2004年第1期25-29,共5页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：supportedbytheHeilongjiangNaturalScienceFounda tion,China (GrantNo.95 0 7)

摘　　要：提出动力学系统守恒定律构成的一般途径 .根据微分方程积分因子的定义研究守恒量存在的必要条件 .建立了Poincar啨 -Chetaev方程的守恒定理及其逆定理 。To present a general approach to the construction of conservation laws for the dynamical system.The definition of integrating factors for differential equations was used to study the necessary conditions for existence of the conserved quantities.The conservation theorem and its inverse theorem for the Poincaré-Chetaev's equations were established.Finally,an example was given to illustrate the application of the result.

关 键 词：POINCARÉ-CHETAEV方程 守恒定理 微分方程 分析力学 完整力学系统 积分因子 

分 类 号：O316[理学—一般力学与力学基础]