Application of Lie Group-based Neural Network Method to Nonlinear Dynamical Systems
Dynamical Systems
2022-03-10 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2203.04609,
title = {Application of Lie Group-based Neural Network Method to Nonlinear Dynamical Systems},
author = {Ying Wen and Temuer Chaolu},
journal= {arXiv preprint arXiv:2203.04609},
year = {2022}
}