Machine Learning of Nonlinear Dynamical Systems with Control Parameters Using Feedforward Neural Networks
Chaotic Dynamics
2024-09-13 v1 Neural and Evolutionary Computing
Adaptation and Self-Organizing Systems
Abstract
Several authors have reported that the echo state network reproduces bifurcation diagrams of some nonlinear differential equations using the data for a few control parameters. We demonstrate that a simpler feedforward neural network can also reproduce the bifurcation diagram of the logistics map and synchronization transition in globally coupled Stuart-Landau equations.
Cite
@article{arxiv.2409.07468,
title = {Machine Learning of Nonlinear Dynamical Systems with Control Parameters Using Feedforward Neural Networks},
author = {Hidetsugu Sakaguchi},
journal= {arXiv preprint arXiv:2409.07468},
year = {2024}
}
Comments
5 pages, 2 figures