【摘要】 提出了动力学系统守恒定律构成的一般途径.首先,给出运动微分方程积分因子的定义,详细地研究 了守恒量存在的必要条件.其次,建立了变质量非完整Vacco动力学系统的守恒定理及其逆定理.最后,举例说明 结果的应用.更多还原

【Abstract】 In this paper, a general approach to the construction of conservation laws for Vacco dynamical systems were presented. Firstly, the definition of integrating factors was given. Secondly, necessary conditions for existence of the conserved quantities were studied in detail. Then the conservation theorem and its inverse theorem for the variable mass nonholonomic Vacco dynamical systems were established. Finally, an example was given to illustrate the application of the results.更多还原