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Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation
It is well-known that stationary localized patterns involving a periodic stripe core can undergo a process that is known as "homoclinic snaking" where patterns are added to the stripe core as a bifurcation parameter is varied. The parameter region where homoclinic snaking takes place usually occupies a small region in …