【摘要】 讨论了Ｈａｍｉｌｔｏｎ系统辛差分格式守恒量的存在性问题以及它们与辛差分格式的稳定性间的关系。结果表明，辛差分格式使Ｈａｍｉｌｔｏｎ系统的所有守恒量随时间没有线性变化。一般情况下，差分格式稳定，其守恒量收敛更多还原

【Abstract】 Discussion is given on the existance of conservative laws of symplectic difference scheme for the Hamilton System and the relationship between them and the stability of the symplectic difference scheme. The results show there are not any linear variations in all conservative laws of Hamilton System for symplectic difference scheme. In general, when the symplectic differencescheme stable, the conservative laws are convergent.更多还原