Generalized Birkhofflan representation of nonholonomic systems and its discrete variational algorithm  

作　　者：刘世兴 刘畅 花巍 郭永新 

机构地区：[1]College of Physics, Liaoning University, Shenyang 110036, China [2]College of Physics and Technology, Shenyang Normal University, Shenyang 110034, China [3]Eastern Liaoning University, Dandong 118001, China

出　　处：《Chinese Physics B》2016年第11期346-352,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11472124,11572145,11202090,and 11301350);the Doctor Research Start-up Fund of Liaoning Province,China(Grant No.20141050);the China Postdoctoral Science Foundation(Grant No.2014M560203);the General Science and Technology Research Plans of Liaoning Educational Bureau,China(Grant No.L2013005)

摘　　要：By using the discrete variational method,we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework,and construct a numerical method of generalized Birkhoffian equations called a self-adjoint-preserving algorithm.Numerical results show that it is reasonable to study the nonholonomic system by the structure-preserving algorithm in the generalized Birkhoffian framework.By using the discrete variational method,we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework,and construct a numerical method of generalized Birkhoffian equations called a self-adjoint-preserving algorithm.Numerical results show that it is reasonable to study the nonholonomic system by the structure-preserving algorithm in the generalized Birkhoffian framework.

关 键 词：variational preserving coordinates constraints adjoint satisfy manifold transformed preserve symplectic 

分 类 号：O316[理学—一般力学与力学基础]