96 citations · 244 across the 21 of their papers we have counts for
3 papers · 2 filters
Localized patterns in planar bistable weakly coupled lattice systems
Jason J. Bramburger, Bjorn Sandstede
Localized planar patterns in spatially extended bistable systems are known to exist along intricate bifurcation diagrams, which are commonly referred to as snaking curves. Their an…
Spatially Localized Structures in Lattice Dynamical Systems
Jason J. Bramburger, Bjorn Sandstede
We investigate stationary, spatially localized patterns in lattice dynamical systems that exhibit bistability. The profiles associated with these patterns have a long plateau where…
Localized radial roll patterns in higher space dimensions
Jason J. Bramburger, Dylan Altschuler, Chloe I. Avery +4
Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the len…