Stability of planar "frozen" fronts propagating through a cylindrical shell reactor in reaction-diffusion and reaction-diffusion-advection systems is studied numerically using the reactor perimeter (S) as a bifurcation parameter. For both systems rigid rotating patterns superimposed on axially propagating fronts were shown to emerge in S gaps between one-wave and two-wave solutions. The rotating motion is surprising since the linear analysis predicts formation of stationary patterns which are sustained in the plane, and emerges due to the periodic azimuthal boundary conditions.
|Journal||Physical Review E|
|State||Published - 28 May 2010|