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Bifurcation analysis to Swift-Hohenberg
equation with Steklov type boundary conditions
Bifurcation structure of the stationary solutions to the
Swift-Hohenberg equation with a symmetry breaking boundary condition
is studied. Namely, a SO(2) breaking perturbation is added to the
Neumann or Dirichlet boundary conditions. As a result, half of the
secondary bifurcation points change their characters by the
imperfection of pitchfork bifurcations.