New algorithms for constrained dynamics based on Faddeev-Jackiw approach  

作　　者：贾屹峰 吴可 许志强 

机构地区：[1]School of Mathematical Sciences, Capital Normal University, Beijing 100037, China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Chinese Physics B》2007年第12期3581-3588,共8页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 10401021）.

摘　　要：In this paper, the Faddeev Jackiw approach is improved by the Wu elimination method, so a great many complicated computations in solving constraints for the finite-dimensional polynomial-type constrained dynamics can be executed easily by using computers. Moreover, based on the Faddeev Jackiw approach, a new algorithm of solving the constrained dynamics is presented. The new algorithm is simpler and stricter than the Faddeev-Jackiw approach. Using the new algorithm, the second Cawley counterexample is solved.In this paper, the Faddeev Jackiw approach is improved by the Wu elimination method, so a great many complicated computations in solving constraints for the finite-dimensional polynomial-type constrained dynamics can be executed easily by using computers. Moreover, based on the Faddeev Jackiw approach, a new algorithm of solving the constrained dynamics is presented. The new algorithm is simpler and stricter than the Faddeev-Jackiw approach. Using the new algorithm, the second Cawley counterexample is solved.

关 键 词：CONSTRAINED characteristic chain symplectic matrix 

分 类 号：O174[理学—数学]