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arXiv · 2203.04609

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

Ying Wen·Temuer Chaolu
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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.

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BibTeXRIS

Ying Wen, Temuer Chaolu. 2022-03-09. Application of Lie Group-based Neural Network Method to Nonlinear Dynamical Systems. https://arxiv.org/abs/2203.04609

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