Special Session 101: Nonlinear waves in materials with microstructure
Contents
We use our continuation and bifurcation software tool pde2path (see [1]) to determine solutions and solution branches numerically for elliptic PDEs over 1D and 2D domains. In my talk I present numerical and analytical results for localized patterns on patterned backgrounds and the snaking behavior of their branches for some reaction-diffusion systems over 2D domains.
[1] http://www.staff.uni-oldenburg.de/hannes.uecker/pde2path/