In this paper, we consider the Swift-Hohenberg equation with perturbed boundary conditions. We do not a priori know the eigenfunctions for the linearized problem since the SO(2) symmetry of the problem is broken by perturbation. We show that how the neutral stability curves change and, as a result, how the bifurcation diagrams change by the perturbation of the boundary conditions.
|Number of pages||9|
|Publication status||Published - 1 Dec 2007|
- Imperfect pitchfork bifurcation
- Perturbed boundary conditions
- Turing instability