96 citations · 244 across the 21 of their papers we have counts for
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Enabling equation-free modeling via diffusion maps
Tracy Chin, Jacob Ruth, Clayton Sanford +3
Equation-free modeling aims at extracting low-dimensional macroscopic dynamics from complex high-dimensional systems that govern the evolution of microscopic states. This algorithm…
Behavior of Spiral Wave Spectra with a Rank-Deficient Diffusion Matrix
Stephanie Dodson, Bjorn Sandstede
Spiral waves emerge in numerous pattern forming systems and are commonly modeled with reaction-diffusion systems. Some systems used to model biological processes, such as ion-chann…
Snaking bifurcations of localized patterns on ring lattices
Moyi Tian, Jason J. Bramburger, Bjorn Sandstede
We study the structure of stationary patterns in bistable lattice dynamical systems posed on rings with a symmetric coupling structure in the regime of small coupling strength. We…