26 citations · 32 across the 6 of their papers we have counts for
4 papers · 1 filter
Most probable escape paths in perturbed gradient systems
Katherine Slyman, Mackenzie Simper, John A. Gemmer +1
Stochastic systems are used to model a variety of phenomena in which noise plays an essential role. In these models, one potential goal is to determine if noise can induce transiti…
Tipping in a Low-Dimensional Model of a Tropical Cyclone
Katherine Slyman, John A. Gemmer, Nicholas K. Corak +2
A presumed impact of global climate change is the increase in frequency and intensity of tropical cyclones. Due to the possible destruction that occurs when tropical cyclones make…
A Dynamical Systems Approach for Most Probable Escape Paths over Periodic Boundaries
Emmanuel Fleurantin, Katherine Slyman, Blake Barker +1
Analyzing when noisy trajectories, in the two dimensional plane, of a stochastic dynamical system exit the basin of attraction of a fixed point is specifically challenging when a p…
Rate and Noise-Induced Tipping Working in Concert
Katherine Slyman, Christopher K. Jones
Rate-induced tipping occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states. We show that the addition of noise to th…