事件空间中非完整非保守系统的守恒量存在定理及其逆定理  

Existence theorem and its converse of conserved quantities for the nonholonomic nonconservative systems in the event space

作　　者：乔永芬[1] 赵淑红[1] 李仁杰[2] 

机构地区：[1]东北农业大学工程学院,哈尔滨150030 [2]莱阳农学院基础部,莱阳265200

出　　处：《物理学报》2006年第11期5585-5589,共5页Acta Physica Sinica

基　　金：黑龙江省自然科学基金(批准号:9507)资助的课题.~~

摘　　要：提出了事件空间中非完整非保守系统守恒定律构成的一般途径.首先,列写系统的运动微分方程,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,并建立了事件空间中非完整非保守系统的守恒量存在定理及其逆定理.最后,举例说明结果的应用.A general approach to the construction of conservation laws for nonholonomic nonconservative dynamical systems in the event space was presented. Firstly, the differential equations of notion of systems are written, and the definition of integrating factors is given. Next, the necessary conditions for the existence of the conserved quantities are studied in detail. Finally, the existence theorem and its converse of conserved quantities for the nonholonomic nonconservative dynamical systems in the event space are established, and an example is given to illustrate the application of the result.

关 键 词：事件空间 非完整非保守系统 积分因子 守恒定理 

分 类 号：O19[理学—数学]