关于 Nucci-Reduce 算法计算动力系统非局部对称性的约化过程：开普勒及相关问题的案例研究
动力系统
2008-06-17 v4
摘要
Nucci (1996) REDUCE 算法的难点在于其固有的计算量以及在算法约化过程中识别可忽略变量的能力。若不当选择可忽略变量，可能导致无限循环。我们构造了一种同构变换以改善这些问题，借助该变换，通过简单、确定的代数步骤生成了与 Nucci 方法等价的方程组，且该方程组易于通过 Lie 点对称算法求解。
引用
@article{arxiv.0709.1936,
title = {On the Reduction Process of Nucci-Reduce Algorithm for Computing Nonlocal Symmetries of Dynamical Systems:A case study of the Kepler and Kepler-related problems},
author = {Festus Irimisose Arunaye},
journal= {arXiv preprint arXiv:0709.1936},
year = {2008}
}
备注
17 pages. Final review of paper presented at the Seventh International conference "Symmetry in Nonlinear Mathematical Physics", Keiv-Ukraine, June, 2007. 16 pages,final correction on this paper after first loading, for "Transactions of the American Mathematical Society" to take note