高阶微商奇异系统的Poincaré——Cartan积分不变量

Poincare - Cartan Integral Invariant for Singular Nth -order Lagrangian

将Poincare—Cartan积分不变量推广到高价微商奇异系统,该系统所含的正则约束显含时间,研究了该不变量与奇异系统正则方程之间的联系,纠正了一些文献中出现的错误,这个积分不变量提供了一个讨论高阶微商奇异系统Dirac猜想的有用工具。

A generalization of Poincare -Cartan integral invariant for singular Nth -order Lagrangian whose constraints are dependent on time explicitly was given. The connection between this invariant and canonical equations were discussed. Some confusions in the literature were corrected. The Poincare -Cartan integral invariant provide a useful tool to research the Dirac's conjecture for the system with singualr Nth -order Lagrangian.