title: Multiplicative noise can lead to the collapse of dissipative solitons.
abstract: We investigate the influence of spatially homogeneous multiplicative noise on the formation of localized patterns in the framework of the cubic-quintic complex Ginzburg-Landau equation. We find that for sufficiently large multiplicative noise the formation of stationary and temporally periodic dissipative solitons is suppressed. This result is characterized by a linear relation between the bifurcation parameter and the noise amplitude required for suppression. For the regime associated with exploding dissipative solitons we find a reduction in the number of explosions for larger noise strength as well as a conversion to other types of dissipative solitons or to filling-in and eventually a collapse to the zero solution.
authors: Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Avenida Monseñor Álvaro del Portillo 12.455, Las Condes, Santiago, Chile.|Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany.
authors: Orazio
authors: O
authors: Descalzi
authors: Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Avenida Monseñor Álvaro del Portillo 12.455, Las Condes, Santiago, Chile.
authors: Carlos
authors: C
authors: Cartes
authors: Department of Physics, University of Bayreuth, 95440 Bayreuth, Germany.
authors: Helmut R
authors: HR
authors: Brand