Defects in Striped Phases
- Arnd Scheel (University of Minnesota)
Many nonlinear systems admit families of striped solutions, which are periodic in one spatial variable. A prototypical system is the Swift-Hohenberg equation with cubic nonlinearity. I will discuss attempts to describe patterns that deviate from exact spatial periodicity due to the presence of boundary conditions, inhomogeneities, or ``self-organized'' defects.