Symplectic Schemes for Birkhoffian System
数学物理
2018-01-17 v1 math.MP
摘要
A universal symplectic structure for a Newtonian system including nonconservative cases can be constructed in the framework of Birkhoffian generalization of Hamiltonian mechanics. In this paper the symplectic geometry structure of Birkhoffian system is discussed, then the symplecticity of Birkhoffian phase flow is presented. Based on these properties we give a way to construct symplectic schemes for Birkhoffian system by using the generating function method.
引用
@article{arxiv.math-ph/0301001,
title = {Symplectic Schemes for Birkhoffian System},
author = {Hongling Su and Mengzhao Qin},
journal= {arXiv preprint arXiv:math-ph/0301001},
year = {2018}
}