Fahimeh Nazarimehr1, Sajad Jafari1,2 , Matjaˇz
Perc3,4,5 and Julien C. Sprott6 1 Biomedical Engineering Department, Amirkabir
University of Technology - Tehran, Iran 2 Health Technology Research Institute, Amirkabir
University of Technology - Tehran, Iran 3 Faculty of Natural Sciences and Mathematics,
University of Maribor - Koroˇska cesta 160, 2000 Maribor, Slovenia 4 Dept. of Medical Research, China Medical University
Hospital, China Medical University - Taichung, Taiwan 5 Complexity Science Hub Vienna - Josefst�adterstra�e
39, 1080 Vienna, Austria 6 Department of Physics, University of
Wisconsin-Madison - Madison, WI 53706, USA
received 1 October 2020; accepted in final form 23 October 2020
published online 18 December 2020
PACS 89.75.-k � Complex systems
PACS 05.45.-a � Nonlinear dynamics and chaos
Abstract � Critical slowing down is considered to be an important
indicator for predicting critical transitions in dynamical systems.
Researchers have used it prolifically in the fields of ecology,
biology, sociology, and finance. When a system approaches a critical
transition or a tipping point, it returns more slowly to its stable
attractor under small perturbations. The return time to the stable
state can thus be used as an index, which shows whether a critical
change is near or not. Based on this phenomenon, many methods have
been proposed to determine tipping points, especially in biological
and social systems, for example, related to epidemic spreading,
cardiac arrhythmias, or
even population collapse. In this perspective, we briefly review
past research dedicated to critical slowing down indicators and
associated tipping points, and we outline promising directions for
future research.
Ref:
F. Nazarimehr, S. Jafari, M. Perc, and J. C. Sprott, European
Physics Letters 132, 18001--1-7 (2020).