From the 2 of 15 linked papers with an AI index.
15 papers
Koopman early warning signals for bifurcation and rate-induced tipping
Juan Nathaniel, Carla Roesch, Derek DeSantis +5
Abrupt transitions in complex systems are often preceded by early warning signals. However, most indicators rely on the notion of critical slowing down and do not generally extend…
Data-driven analysis of metastability in a stochastic bistable system
Ankan Banerjee, Manuel Santos Gutierrez, John Moroney +1
The paper introduces a data‑driven method using the Koopman operator to identify slow inter‑well transitions and fast saddle escapes in a stochastic bistable system, validating esc…
Beyond Critical Slowing Down: Slow Modes, Extreme Tails, and Field Decoherence in Tipping Transitions
Mickaël D. Chekroun, Valerio Lucarini
The paper investigates early‑warning signals of climate tipping in a stochastic energy‑balance model by combining spectral analysis of reduced Ruelle‑Pollicott resonances, extreme‑…
Linear Response and Optimal Fingerprinting for Nonautonomous Systems
Valerio Lucarini
We provide a link between response theory, pullback measures, and optimal fingerprinting method that paves the way for a) predicting the impact of acting forcings on time-dependent…
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems
Stefano Galatolo, Valerio Lucarini
Linear response theory aims to predict how an additional forcing alters the statistical properties of a reference system. Such questions have been studied predominantly for autonom…
Ulam Approximation for Nonautonomous Systems: Equivariant Measures and Linear Response
Stefano Galatolo, Valerio Lucarini, Isaia Nisoli
Despite the prevalence of nonautonomous systems in applications, their statistical properties are much less understood than in the autonomous setting. Building on recent results on…