Difference Discrete Variational Principle in Discrete Mechanics and Symplectic Algorithm

被引：3

作者：

LUO Xu-Dong~1 GUO Han-Ying~2 LI Yu-Qi~2 WU Ke~31 Department of Physics

机构：

来源：

Communications in Theoretical Physics | 2004年 / 42卷 / 09期

基金：

中国国家自然科学基金;

关键词：

discrete mechanics; symplectic algorithm; variational principle;

D O I：

暂无

中图分类号：

O316 [分析力学（解析力学）];

学科分类号：

080101 ;

摘要：

We propose the difference discrete variational principle in discrete mechanics and symplectic algorithmwith variable step-length of time in finite duration based upon a noncommutative differential calculus established inthis paper.This approach keeps both symplecticity and energy conservation discretely.We show that there exists thediscrete version of the Euler-Lagrange cohomology in these discrete systems.We also discuss the solution existencein finite time-length and its site density in continuous limit,and apply our approach to the pendulum with periodicperturbation.The numerical results are satisfactory.

引用

页码：443 / 452

页数：10