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pde2path is a free and easy to use Matlab continuation/bifurcation packagefor elliptic systems of PDEs with arbitrary many components, on general twodimensional domains, and with rather general boundary conditions. The packageis based on the FEM of the Matlab pdetoolbox, and is explained by a number ofexamples, including Bratu's problem, the Schnakenberg model, Rayleigh-Benardconvection, and von Karman plate equations. These serve as templates to studynew problems, for which the user has to provide, via Matlab function files, adescription of the geometry, the boundary conditions, the coefficients of thePDE, and a rough initial guess of a solution. The basic algorithm is a oneparameter arclength continuation with optional bifurcation detection andbranch-switching. Stability calculations, error control and mesh-handling, andsome elementary time-integration for the associated parabolic problem are alsosupported. The continuation, branch-switching, plotting etc are performed viaMatlab command-line function calls guided by the AUTO style. The software canbe downloaded from www.staff.uni-oldenburg.de/hannes.uecker/pde2path, wherealso an online documentation of the software is provided such that in thispaper we focus more on the mathematics and the example systems.

pde2path - A Matlab package for continuation and bifurcation in 2D elliptic systems