most citedNext-Generation Reservoir Computing for Dynamical Inference

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math.DS2026

Lie Meets Network Dynamics: Exact Macroscopic Reductions (Finite Systems)

Erik Andreas Martens, Sanjay Dharmavaram

We establish a unified framework for exact dimensional reductions in network dynamical systems using Lie-Scheffers theory. For network dynamical systems with \emph{mean-field Lie-S…