Predicting Chaotic System Behavior using Machine Learning Techniques
This work addresses the problem of predicting chaotic systems for researchers in physics and engineering, but it is incremental as it compares existing methods on standard chaotic datasets.
The study compared three machine learning methods—Next Generation Reservoir Computing (NG-RC), Reservoir Computing (RC), and Long Short-Term Memory (LSTM)—for predicting chaotic system behavior, finding that NG-RC is more computationally efficient and offers greater potential.
Recently, machine learning techniques, particularly deep learning, have demonstrated superior performance over traditional time series forecasting methods across various applications, including both single-variable and multi-variable predictions. This study aims to investigate the capability of i) Next Generation Reservoir Computing (NG-RC) ii) Reservoir Computing (RC) iii) Long short-term Memory (LSTM) for predicting chaotic system behavior, and to compare their performance in terms of accuracy, efficiency, and robustness. These methods are applied to predict time series obtained from four representative chaotic systems including Lorenz, Rössler, Chen, Qi systems. In conclusion, we found that NG-RC is more computationally efficient and offers greater potential for predicting chaotic system behavior.