690 citations
- University of North Carolina at Chapel HillUS24 papers
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math.DS2023★ 6 cited
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…
math.DS2022★ 26 cited
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…