This algorithm avoids soling differential equation frequently as well as redundant orbit, and it is easy to control the accuracy and to get the picture of manifold.
该算法避免了频繁求解微分方程问题，没有求解多余的轨道，且求解的精度也容易控制，得到的流形图直观。
2
Research of the group of motions in Riemann manifold is an important question of the differential geometry.
黎曼流形运动群的研究是微分几何中一个重要问题。
3
In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system.