Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations
TLDR
In this paper, the authors discuss tipping phenomena in non-autonomous systems using an example of a bistable ecosystem model with environmental changes represented by time-varying parameters.Abstract:
We discuss tipping phenomena in nonautonomous systems using an example of a bistable ecosystem model with environmental changes represented by time-varying parameters [Scheffer et al., Ecosystems, ...read more
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When very slow is too fast - collapse of a predator-prey system.
TL;DR: This work demonstrates that the well-known Rosenzweig-MacArthur predator-prey model can undergo a rate-induced critical transition in response to a continuous decline in the habitat quality, resulting in a collapse of the predator and prey populations.
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Overshooting tipping point thresholds in a changing climate
TL;DR: In this article, the authors consider simple models of tipping elements with prescribed thresholds, driven by global warming trajectories that peak before returning to stabilize at a global warming level of 1.5 degrees Celsius above the pre-industrial level.
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Compactification for Asymptotically Autonomous Dynamical Systems: Theory, Applications and Invariant Manifolds
TL;DR: In this paper, the authors developed a general compactification framework to facilitate analysis of nonlinear non-autonomous ODEs where nonautonomous terms decay asymptotically.
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Using Machine Learning to Anticipate Tipping Points and Extrapolate to Post-Tipping Dynamics of Non-Stationary Dynamical Systems
Dhruvit Patel,Edward Ott +1 more
TL;DR: ML-based approaches are promising tools for predicting the behavior of non-stationary dynamical systems even in the case where the future evolution includes dynamics on a set outside of that explored by the training data.
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Tipping points induced by parameter drift in an excitable ocean model.
TL;DR: In this article, the role of tipping between two states in an excitable low-order ocean model is examined, where ensemble simulations are used to obtain the model's pullback attractor and its properties, as a function of a forcing parameter and of the steepness of a climatological drift in the forcing.