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 …

Rate-induced tipping in natural and human systems

PDL Ritchie, H Alkhayuon, PM Cox… - Earth System …, 2023 - esd.copernicus.org
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 …

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 …

Rate and memory effects in bifurcation-induced tipping

J Cantisán, S Yanchuk, JM Seoane, MAF Sanjuán… - Physical Review E, 2023 - APS
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 …

[HTML][HTML] When and why ecological systems respond to the rate rather than the magnitude of environmental changes

KC Abbott, CM Heggerud, YC Lai, A Morozov… - Biological …, 2024 - Elsevier
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 …

[HTML][HTML] Regime shifts, extinctions and long transients in models of population dynamics with density-dependent dispersal

AY Morozov, D Almutairi, SV Petrovskii… - Biological Conservation, 2024 - Elsevier
Predicting extinctions resulting from ecosystems' regime shifts has long been a focus of
biological conservation and ecological management. Mathematical modelling plays a key …

Partial tipping in bistable ecological systems under periodic environmental variability

A Basak, SK Dana, N Bairagi - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
Periodic environmental variability is a common source affecting ecosystems and regulating
their dynamics. This paper investigates the effects of periodic variation in species growth …