中文摘要：

这份报纸为线性变化时间的 Hamiltonian 系统论述一个高顺序 symplectic 保守人士不安方法。第一， Hamiltonian 系统的动态方程逐渐地被变成一个高顺序不安方程，它被变成 Hamiltonian 系数矩阵一个主要部件和一份高订单近似解决小数量和使用的不安转变技术，然后， Hamiltonian 系统的原来的方程的答案通过一系列反的变换被决定。因为方法在这份报纸决定的转移矩阵是一系列指数的矩阵的产品，转移矩阵是一个 symplectic 矩阵；而且，指数的矩阵能被精确时间集成方法精确地计算因此在这份报纸介绍的方法有好精确性，效率和稳定性。尽管大时间步被选择，例子证明建议方法罐头也给好结果，并且随不安的增加命令不安答案很快趋于到准确答案。

英文摘要：

This paper presents a high order symplectic con- servative perturbation method for linear time-varying Hamil- tonian system. Firstly, the dynamic equation of Hamilto- nian system is gradually changed into a high order pertur- bation equation, which is solved approximately by resolv- ing the Hamiltonian coefficient matrix into a ＂major compo- nent＂ and a ＂high order small quantity＂ and using perturba- tion transformation technique, then the solution to the orig- inal equation of Hamiltonian system is determined through a series of inverse transform. Because the transfer matrix determined by the method in this paper is the product of a series of exponential matrixes, the transfer matrix is a sym- plectic matrix; furthermore, the exponential matrices can be calculated accurately by the precise time integration method, so the method presented in this paper has fine accuracy, ef- ficiency and stability. The examples show that the proposed method can also give good results even though a large time step is selected, and with the increase of the perturbation or- der, the perturbation solutions tend to exact solutions rapidly.