论文标题
通用$ n $二维Ermakov系统的对称和保护法
Symmetries and conservation laws for the generalized $n$-dimensional Ermakov system
论文作者
论文摘要
我们修改了有关概括的三维哈密顿Ermakov系统分类的最新结果。我们表明，最近发布的陈述是不正确的，而分类问题的解决方案是不完整的。我们通过使用将背景空间与动力学相关的结果来介绍三维系统的正确分类。最后，我们将结果扩展到广义的$ n $％二维的哈密顿Ermakov系统。
We revise recent results on the classification of the generalized three-dimensional Hamiltonian Ermakov system. We show that a statement published recently is incorrect, while the solution for the classification problem was incomplete. We present the correct classification for the three-dimensional system by using results which related the background space with the dynamics. Finally, we extend our results for the generalized $n$% -dimensional Hamiltonian Ermakov system.
