49 citations · 253 across the 59 of their papers we have counts for
4 papers · 2 filters
Wave train selection by invasion fronts in the FitzHugh--Nagumo equation
Paul Carter, Arnd Scheel
We study invasion fronts in the FitzHugh--Nagumo equation in the oscillatory regime using singular perturbation techniques. Phenomenologically, localized perturbations of the unsta…
Self-organized Clusters in Diffusive Run-and-Tumble Processes
Patrick Flynn, Quinton Neville, Arnd Scheel
We analyze a simplistic model for run-and-tumble dynamics, motivated by observations of complex spatio-temporal patterns in colonies of myxobacteria. In our model, agents run with…
Wavenumber selection via spatial parameter jump
Arnd Scheel, Jasper Weinburd
The Swift-Hohenberg equation describes an instability which forms finite-wavenumber patterns near onset. We study this equation posed with a spatial inhomogeneity; a jump-type para…
Pattern-forming fronts in a Swift-Hohenberg equation with directional quenching - parallel and oblique stripes
Ryan Goh, Arnd Scheel
We study the effect of domain growth on the orientation of striped phases in a Swift-Hohenberg equation. Domain growth is encoded in a step-like parameter dependence that allows st…