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Forecasting the Forced van der Pol Equation with Frequent Phase Shifts Using Reservoir Computing

2024/04/23 by Sho Kuno, Hiroshi Kori, Kuno, Sho +1
Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Neural and Evolutionary Computing (cs.NE)

paper · pdf · doi:10.48550/arxiv.2404.14651

openalex publication_date 2024/04/23 · openalex created_date 2024/04/26 · openalex updated_date 2026/07/28

Abstract

We tested the performance of reservoir computing (RC) in predicting the dynamics of a certain non-autonomous dynamical system. Specifically, we considered a van del Pol oscillator subjected to periodic external force with frequent phase shifts. The reservoir computer, which was trained and optimized with simulation data generated for a particular phase shift, was designed to predict the oscillation dynamics under periodic external forces with different phase shifts. The results suggest that if the training data have some complexity, it is possible to quantitatively predict the oscillation dynamics exposed to different phase shifts. The setting of this study was motivated by the problem of predicting the state of the circadian rhythm of shift workers and designing a better shift work schedule for each individual. Our results suggest that RC could be exploited for such applications.

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