Numerous natural and human-made systems exhibit critical transitions whereby slow
changes in environmental conditions spark abrupt shifts to a qualitatively distinct state …

Antifragility characterizes the benefit of a dynamical system derived from the variability in
environmental perturbations. Antifragility carries a precise definition that quantifies a …

Forecasting all components in complex systems is an open and challenging task, possibly
due to high dimensionality and undesirable predictors. We bridge this gap by proposing a …

Understanding stability—whether a community will eventually return to its original state after
a perturbation—is a major focus in the study of various complex systems, particularly …

Research aimed at identifying indicators of persistent abrupt shifts in ecological
communities, aka regime shifts, has led to the development of a suite of early warning …

An ecosystem shifts to an alternative stable state when a threshold of accumulated pressure
(ie direct impact of environmental change or human activities) is exceeded. Detecting this …

Abstract Early Warning Signals (EWS) have generated much excitement for their potential to
anticipate transitions in various systems, ranging from climate change in ecology to disease …

Many real-world systems undergo abrupt changes in dynamics as they move across critical
points, often with dramatic and irreversible consequences. Much existing theory on …

Early warning signals (EWSs) represent a potentially universal tool for identifying whether a
system is approaching a tip** point, and have been applied in fields including ecology …

Real-world non-autonomous systems are open, out-of-equilibrium systems that evolve in
and are driven by temporally varying environments. Such systems can show multiple …