4 papers
Quantitative metrics for trait and identity distributions
Leah Hoogstra, Katherine Slyman, Bjorn Sandstede
Understanding the role of demographic diversity in group settings requires effective quantitative metrics. Intersectional feminist theory has highlighted that demographic identitie…
Data-driven continuation of patterns and their bifurcations
Wenjun Zhao, Samuel Maffa, Björn Sandstede
Patterns and nonlinear waves, such as spots, stripes, and rotating spirals, arise prominently in many natural processes and in reaction-diffusion models. Our goal is to compute bou…
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…
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…