27 citations · 285 across the 42 of their papers we have counts for
3 papers · 2 filters
Pattern Formation in Random Networks Using Graphons
Jason Bramburger, Matt Holzer
We study Turing bifurcations on one-dimensional random ring networks where the probability of a connection between two nodes depends on the distance between the two nodes. Our appr…
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…
Deep Learning of Conjugate Mappings
Jason J. Bramburger, Steven L. Brunton, J. Nathan Kutz
Despite many of the most common chaotic dynamical systems being continuous in time, it is through discrete time mappings that much of the understanding of chaos is formed. Henri Po…