R-Tipping Point
Definition 1
In dynamical systems, especially in open systems, a tipping that occurs when the system cannot keep up with a rapid change and a transition takes place is called rate-induced tipping, or simply R-tipping.
Description
The above illustration depicts a situation in which the system has not been fundamentally altered, but the location of a stable equilibrium shifts, and the system’s state cannot keep pace with that rate of change and therefore fails to remain inside the attractor2.
Panahi, S., Do, Y., Hastings, A., & Lai, Y. C. (2023). Rate-induced tipping in complex high-dimensional ecological networks. Proceedings of the National Academy of Sciences, 120(51), e2308820120. https://doi.org/10.1073/pnas.2308820120 ↩︎
Heßler, M. (2018). Leading indicators in b-and r-tipping systems with focus on eigenvalue estimation (Doctoral dissertation, Ph. D. thesis, Institute for theoretical physics). https://www.uni-muenster.de/imperia/md/content/physik_tp/theses/thiele/2018_ma_martinhessler.pdf ↩︎