TY - JOUR
AU - Bollt, Erik M.
AB - Abstract:In this work, we quantify the timescales and information flow associated by multiscale energy transfer in a weakly turbulent system through a novel new interpretation of transfer entropy. Our goal is to provide a detailed understanding of the nature of complex energy transfer in nonlinear dispersive systems driven by wave mixing. Further, we present a modal decomposition method based on the empirical wavelet transform that produces a relatively small number of nearly decorrelated, scale separated modes. Using our method, we are able to track multiscale energy transfer using only scalar time series measurements of a weakly turbulent system. This points to our approach being of broader applicability in real-world data coming from chaotic or turbulent dynamical systems.
TI - Empirical Discovery of Multi-Scale Transfer of Information in Dynamical Systems
JF - Nonlinear Sciences
DO - 10.48550/arxiv.2502.19633
DA - 2025-02-26
UR - https://www.deepdyve.com/lp/arxiv-cornell-university/empirical-discovery-of-multi-scale-transfer-of-information-in-f78C8TZd0L
VL - 2025
IS - 2502
DP - DeepDyve
ER -