完整非保守系统Raitzin正则运动方程的积分因子和守恒定理  

Integrating factors and conservation laws for the Raitzin's canonical equations of motion of nonconservative dynamical systems

作　　者：乔永芬[1] 张耀良 赵淑红[1] 

机构地区：[1]东北农业大学工程学院,哈尔滨150030 [2]哈尔滨工程大学二系,哈尔滨150001

出　　处：《物理学报》2002年第8期1661-1665,共5页Acta Physica Sinica

基　　金：国家自然科学基金 (批准号 :19872 0 2 2 )资助的课题~~

摘　　要：提出了经典非保守动力学系统守恒定律构成的一般途径 .首先 ,给出积分因子的定义 .其次 ,详细地研究了守恒量存在的必要条件 ,建立了完整非保守系统Raitzin正则运动方程的守恒定理及其逆定理 。A general approach to the construction of conservation laws for classical nonconservative dynamical systems was presented. First, the definition of integrating factors was given. Next, necessary conditions for the existence of conserved quantities were studied in detail. Then the conservation theorem and its inverse for the Raitzin's canonical equations of motion of nonconservative dynamical systems were established. Finally, an example to illustrate the application of the result wsa given.

关 键 词：完整非保守系统 Raitzin正则运动方程 积分因子 守恒定律 分析力学 

分 类 号：O316[理学—一般力学与力学基础]