New algorithms for constrained dynamics based on Faddeev--Jackiw approach
Jia Yi-Feng(贾屹峰)a)†, Wu Ke(吴可)a), and Xu Zhi-Qiang(许志强)b)
a School of Mathematical Sciences, Capital Normal University, Beijing 100037, China; b Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
Abstract 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.
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10401021).
Cite this article:
Jia Yi-Feng(贾屹峰), Wu Ke(吴可), and Xu Zhi-Qiang(许志强) New algorithms for constrained dynamics based on Faddeev--Jackiw approach 2007 Chinese Physics 16 3581
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
