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.
Published: 20 December 2007
(Nonlinear dynamics and chaos)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10401021).
Cite this article:
Xu Zhi-Qiang, Jia Yi-Feng, Wu Ke New algorithms for constrained dynamics based on Faddeev--Jackiw approach 2007 Chin. Phys. 16 3581