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arXiv · 2409.07468

Machine Learning of Nonlinear Dynamical Systems with Control Parameters Using Feedforward Neural Networks

Hidetsugu Sakaguchi
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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.

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Hidetsugu Sakaguchi. 2024-08-28. Machine Learning of Nonlinear Dynamical Systems with Control Parameters Using Feedforward Neural Networks. https://arxiv.org/abs/2409.07468

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