A modified method for detecting incipient bifurcations in a dynamical system

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Methods for Detecting Early Warnings of Critical Transitions in Time Series Illustrated Using Simulated Ecological Data (2012, background): “Detrended fluctuation analysis indicator x [7]”
Slowing down as an early warning signal for abrupt climate change (2008, background): “Livina and Lenton (19) suggested an approach inspired by a technique for detecting long-term memory in a time series.”
Spatial correlation as leading indicator of catastrophic shifts (2010, background): “…that there is an increasing number of examples where leading indicators have been identified for real systems (Scheffer et al. 2009), like the marine environment (Beaugrand et al. 2008), semi-arid ecosystems (Kéfi et al. 2007), or even climate (Livina and Lenton 2007; Dakos et al. 2008).”
Network resilience (2020, background): “suggesting that the rate of system recovery to the original state is becoming lower when it is approaching the vicinity of the tipping point [213, 380, 215, 222, 216, 217].”