Timothy Davey

Entropy 2024, 26(8), 683

Complex systems confound the typical scientific process. The non-linear relationships mean they can not being broken into smaller, more manageable parts. They also are highly sensitivity to initial conditions, making reproducibility a challenge. Both meaning it crucial we are able to easily identify when a system is acting as complex. Here we propose an information theory based measure which quantifies the uncertainty of any ensemble model arising from complex dynamics. We first compare this measure (named incoherence) to commonly used statistical tests across both continuous and discrete data. Then, we briefly investigate how incoherence can be used to quantify key characteristics of complexity such as criticality and perturbation.

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