李群神经网络方法在非线性动力系统中的应用
Application of Lie Group-based Neural Network Method to Nonlinear Dynamical Systems
摘要：
本文提出了一种基于李群的神经网络方法来求解非线性动力学的初值问题。由于它的单层结构（MLP），该方法是大大低于文献中使用的多层感知器方法。几个例子表明，该方法具有较高的性能能力。
英文摘要：
In this paper, a Lie group-based neural network method is proposed for solving initial value problems of non linear dynamics. Due to its single-layer structure (MLP), the approach is substantially cheaper than the multilayer perceptron method used in literature. The higher performance ability of the method is demonstrated by several examples.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
