112 citations · 150 across the 2 of their papers we have counts for
2 papers
math.DS2015★ 112 cited
Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping
Peter Ashwin, Clare Perryman, Sebastian Wieczorek
We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value t…
math.DS2014★ 38 cited
Adapting to a Changing Environment: Non-obvious Thresholds in Multi-Scale Systems
Clare Perryman, Sebastian Wieczorek
Many natural and technological systems fail to adapt to changing external conditions and move to a different state if the conditions vary too fast. Such "non-adiabatic" processes a…