TransitionsInTimeseries.jl
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JuliaDynamics
Transition Indicators / Early Warning Signals / Regime Shifts / Change Point Detection
# Indicator summary Some pre-trained artificial neural network have shown to be able to predict transitions (and their underlying normal form). I suppose it works well if data corresponds to...
# Indicator summary Correlated noise can lead to bad transition recognition if standard CSD is applied (variance, lag1-autocorelation, AR1 parameter). Therefore use an adapted formula that addresses this. Works bad...
# Indicator summary Linearizing a 1D nonlinear model, one obtains $\dot{x} = \lambda \, x$, with $\lambda$ the restoring rate. It can be estimated in a way that is robust...
Apparently, in the literature of nonlinear dynamics, there are two nomenclatures on regime shifts. One call them "regime transitions" or "regime shifts" or "tipping points". The other calls them "Change...
# Indicator summary Alright, I just saw this Julia code, https://github.com/johncwok/ChangePointDetection.jl , that implements an algorithm called least square density difference (LSDD) method. It is used to detect changepoints in...
# Indicator summary > We assess the proximity of a system to a bifurcation point using a degenerate fingerprinting method that estimates the declining decay rate of fluctuations in a...
# Indicator summary paper abstract: > Many ecological systems are subject critical transitions, which are abrupt changes to contrasting states triggered by small changes in some key component of the...
# Indicator summary > Abrupt climate change has an important impact on sustainable economic and social development, as well as ecosystem. However, it is very difficult to predict abrupt climate...
# Indicator summary I came across this from a presentation of Sarah Hallerberg in Dynamics Days 2022 Aberdeen. They worked on how covariant lyapunov vectors behave close to a critical...
# Indicator summary Matthias Marconi et al has shown that critical slowing down are not good indicators for systems with a parameter changing in time. They made a new one...
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Transition Indicators / Early Warning Signals / Regime Shifts / Change Point Detection