非完整系统的第一积分与积分不变量

On First Integrals and Integral Invariants of Higher-Order Nonholonomic Systems

摘要: 研究了高阶非完整系统的积分不变量的构造，证明由已知的第一积分可以得到相应的积分不变量；同时，讨论了一阶非完整系统，得到以往所得积分不变量的一个等价形式。

Abstract: Structures of the integral invariants of higher-order nonholonomic systems are studied and it is proved that the integral invariants can be obtained from known first integrals.heldes first order nonholonomic systems are discussed resulting in a form equivalent to the integral invariant formerly obtained.