Application of Lie Group-based Neural Network Method to Nonlinear Dynamical Systems

Autor:	Wen, Ying, Chaolu, Temuer
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.04609 Zobrazit plný text záznamu View this record from Arxiv