title: Stable stationary and breathing holes at the onset of a weakly inverted instability.
abstract: We show numerically different stable localized structures including stationary holes, moving holes, breathing holes, stationary and moving pulses in the one-dimensional subcritical complex Ginzburg-Landau equation with periodic boundary conditions, and using two classes of initial conditions. The coexistence between different types of stable solutions is summarized in a phase diagram. Stable breathing moving holes as well as breathing nonmoving holes have not been described before for dissipative pattern-forming systems including reaction-diffusion systems.
authors.affiliation: Facultad de Ingeniería, Universidad de los Andes, Santiago, Chile and Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany.
authors.forename: Orazio
authors.initials: O
authors.lastname: Descalzi
authors.forename: Helmut R
authors.initials: HR
authors.lastname: Brand