Deep learning for classifying dynamical states from time series via recurrence plots (2506.17498v1)

Abstract: Recurrence Quantification Analysis (RQA) is a widely used method for capturing the dynamical structure embedded in time series data, relying on the analysis of recurrence patterns in the reconstructed phase space via recurrence plots. Although RQA proves effective across a range of applications, it typically requires the computation of multiple quantitative measures, making it both computationally intensive and sensitive to parameter choices. In this study, we adopt an alternative approach that bypasses manual feature selection and extraction by directly using recurrence plot images as input to a deep learning model. We propose a new dual-branch deep learning architecture specifically designed to efficiently capture the complex dynamical features encoded in RPs. We also compare its performance against a baseline ResNet-50 model for classifying the dynamical behavior of time series using recurrence plots. Our dual-branch model, trained exclusively on simulated time series, accurately and efficiently distinguishes among six distinct classes: periodic, quasi-periodic, chaotic, hyperchaotic, white noise, and red noise. To assess its generalizability, we apply the trained model to time series generated from standard Lorenz and R\"ossler systems, neither of which is included in the training set, as well as to experimental datasets from a Chua circuit and observational light curves of the variable stars AC Her, SX Her, and Chi Cygni. In all cases, the model outperforms the baseline and yields predictions that align with the known dynamics of these systems. These results further demonstrate the robustness and versatility of our deep learning framework, underscoring the potential of RP based models as fast, accurate, and scalable tools for classifying dynamical states in both synthetic and real-world time series data.