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math.DS2025
Homoclinic snaking of contact defects in reaction-diffusion equations
Timothy Roberts, Bjorn Sandstede
We apply spatial dynamical-systems techniques to prove that certain spatiotemporal patterns in reversible reaction-diffusion equations undergo snaking bifurcations. That is, in a n…
math.DS2024
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…