Machine Learning of Nonlinear Dynamical Systems with Control Parameters Using Feedforward Neural Networks
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.
- Publication:
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Journal of the Physical Society of Japan
- Pub Date:
- October 2024
- DOI:
- 10.7566/JPSJ.93.105001
- arXiv:
- arXiv:2409.07468
- Bibcode:
- 2024JPSJ...93j5001S
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics;
- Computer Science - Neural and Evolutionary Computing;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems
- E-Print:
- 5 pages, 2 figures