Chaos. 2026 Aug 1;36(8):083153. doi: 10.1063/5.0304782.
ABSTRACT
In this work, we focus on different statistical measures to uncover the complexity of extreme events in various nonlinear dynamical systems. Notably, the effectiveness of the variance-based measure, estimated from the mean recurrence time and entropy, reveals a clear distinction between extreme and non-extreme events. Additionally, the variance measure clearly highlights the critical transition point of unforeseen, rare, large-amplitude dynamics. Our investigation involved models from various disciplines, including the Brusselator chemical oscillator, CO2 laser, superconducting quantum interference devices, and a coupled neuron model. Deeper insights into the complexity of extreme events offer significant value for advancing early prediction methods.
PMID:42663518 | DOI:10.1063/5.0304782
