Rate-induced tipping: Thresholds, edge states and connecting orbits
S Wieczorek, C Xie, P Ashwin - Nonlinearity, 2023 - iopscience.iop.org
Rate-induced tipping (R-tipping) occurs when time-variation of input parameters of a
dynamical system interacts with system timescales to give genuine nonautonomous …
dynamical system interacts with system timescales to give genuine nonautonomous …
Rate-induced tipping in natural and human systems
Over the last 2 decades, tipping points in open systems subject to changing external
conditions have become a topic of a heated scientific debate due to the devastating …
conditions have become a topic of a heated scientific debate due to the devastating …
Opportunities for Earth observation to inform risk management for ocean tipping points
RA Wood, JA Baker, G Beaugrand, J Boutin… - Surveys in …, 2024 - Springer
As climate change continues, the likelihood of passing critical thresholds or tipping points
increases. Hence, there is a need to advance the science for detecting such thresholds. In …
increases. Hence, there is a need to advance the science for detecting such thresholds. In …
Rate and memory effects in bifurcation-induced tipping
A variation in the environment of a system, such as the temperature, the concentration of a
chemical solution, or the appearance of a magnetic field, may lead to a drift in one of the …
chemical solution, or the appearance of a magnetic field, may lead to a drift in one of the …
[HTML][HTML] When and why ecological systems respond to the rate rather than the magnitude of environmental changes
Ecologists and conservation biologists have become quite familiar with the concept of
tipping points: abrupt changes in an ecosystem's state that occur after a period of relative …
tipping points: abrupt changes in an ecosystem's state that occur after a period of relative …
[HTML][HTML] Regime shifts, extinctions and long transients in models of population dynamics with density-dependent dispersal
Predicting extinctions resulting from ecosystems' regime shifts has long been a focus of
biological conservation and ecological management. Mathematical modelling plays a key …
biological conservation and ecological management. Mathematical modelling plays a key …
Partial tipping in bistable ecological systems under periodic environmental variability
Periodic environmental variability is a common source affecting ecosystems and regulating
their dynamics. This paper investigates the effects of periodic variation in species growth …
their dynamics. This paper investigates the effects of periodic variation in species growth …