Poincar(e)-Chetaev方程的守恒定理及其逆定理

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Poincare-Chetaev方程的守恒定理及其逆定理,并举例说明结果的应用.%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 Poincar(e) - Chetaev' s equations were established. Finally, an example was given to illustrate the application of the result.