Buffer phenomenon in the generalization of the Swift-Hohenberg equation

Abstract

A particular generalization of the Swift-Hohenberg equation with zero Dirichlet boundary conditions at the endpoints of a finite interval is considered. It is found that, as the length l of the interval increases while the supercriticality ɛ is fixed and sufficiently small, the number of coexisting stable equilibrium states in the boundary problem indefinitely increases; i.e., a buffer phenomenon is observed.