title: Saddle-node bifurcation: appearance mechanism of pulses in the subcritical complex Ginzburg-Landau equation.
abstract: We study stationary, localized solutions in the complex subcritical Ginzburg-Landau equation in the region where there exists coexistence of homogeneous attractors. Using a matching approach, we report on the fact that the appearance of pulses are related to a saddle-node bifurcation. Numerical simulations are in good agreement with our theoretical predictions.
authors.affiliation: Facultad de Ingeniería, Universidad de los Andes, Avenida San Carlos de Apoquindo 2200, Santiago, Chile.
authors.forename: O
authors.initials: O
authors.lastname: Descalzi
authors.forename: M
authors.initials: M
authors.lastname: Argentina
authors.forename: E
authors.initials: E
authors.lastname: Tirapegui