18 citations · 53 across the 6 of their papers we have counts for
8 papers
The ampsys tool of pde2path
Hannes Uecker, Daniel Wetzel
The computation of coefficients of amplitude systems for Turing bifurcations is a straightforward but sometimes elaborate task, in particular for 2D or 3D wave vector lattices. The…
Snaking branches of planar BCC fronts in the 3D Brusselator
Hannes Uecker, Daniel Wetzel
We present results of the application of the numerical continuation and bifurcation package pde2path to the 3D Brusselator model, focusing on snaking branches of planar fronts betw…
Defect-like structures and localized patterns in SH357
Edgar Knobloch, Hannes Uecker, Daniel Wetzel
We study numerically the cubic-quintic-septic Swift-Hohenberg (SH357) equation on bounded one-dimensional domains. Under appropriate conditions stripes with wave number $k\approx 1…
Tristability between stripes, up-, and down-hexagons and snaking bifurcation branches of spatial connections between up- and down-hexagons
Daniel Wetzel
Third order amplitude equations on hexagonal lattices can be used for predicting the existence and stability of stripes, up- and down-hexagons in pattern forming systems. These amp…
pde2path - version 2.0: faster FEM, multi-parameter continuation, nonlinear boundary conditions, and periodic domains - a short manual
Tomas Dohnal, Jens D. M. Rademacher, Hannes Uecker +1
pdepath 2.0 is an upgrade of the continuation/bifurcation package pde2path for elliptic systems of PDEs over bounded 2D domains, based on the Matlab pdetoolbox. The new features in…
Pattern analysis in a benthic bacteria-nutrient system
Daniel Wetzel
We study pattern formation in a reaction-diffusion system for a benthic bacteria-nutrient model in a marine sediment, which originally contains some spatially varying coefficients…
Numerical results for snaking of patterns over patterns in some 2D Selkov-Schnakenberg Reaction-Diffusion systems
Hannes Uecker, Daniel Wetzel
For a Selkov--Schnakenberg model as a prototype reaction-diffusion system on two dimensional domains we use the continuation and bifurcation software pde2path to numerically calcul…
pde2path - A Matlab package for continuation and bifurcation in 2D elliptic systems
Hannes Uecker, Daniel Wetzel, Jens D. M. Rademacher
pde2path is a free and easy to use Matlab continuation/bifurcation package for elliptic systems of PDEs with arbitrary many components, on general two dimensional domains, and with…