title: Noise can induce explosions for dissipative solitons.
abstract: We study the influence of noise on the spatially localized, temporally regular states (stationary, one frequency, two frequencies) in the regime of anomalous dispersion for the cubic-quintic complex Ginzburg-Landau equation as a function of the bifurcation parameter. We find that noise of a fairly small strength η is sufficient to reach a chaotic state with exploding dissipative solitons. That means that noise can induce explosions over a fairly large range of values of the bifurcation parameter μ. Three different routes to chaos with exploding dissipative solitons are found as a function of μ. As diagnostic tools we use the separation to characterize chaotic behavior and the energy to detect spatially localized explosive behavior as a function of time.
authors.affiliation: Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Av. San Carlos de Apoquindo 2200, Santiago, Chile.
authors.forename: Carlos
authors.initials: C
authors.lastname: Cartes
authors.forename: Orazio
authors.initials: O
authors.lastname: Descalzi
authors.forename: Helmut R
authors.initials: HR
authors.lastname: Brand