27 citations · 285 across the 42 of their papers we have counts for
4 papers · 1 filter
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…
Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization
Alexander Chernyavsky, Jason J. Bramburger, Giovanni Fantuzzi +1
We present a method for finding lower bounds on the global infima of integral variational problems, wherein is minimized over functions $u\col…
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…