title: Transition from non-periodic to periodic explosions.
abstract: We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic-quintic Ginzburg-Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by period-doubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).
authors.affiliation: Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Av. Mons. Álvaro del Portillo 12.455, Las Condes, Santiago, Chile.
authors.forename: Carlos
authors.initials: C
authors.lastname: Cartes
authors.affiliation: Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Av. Mons. Álvaro del Portillo 12.455, Las Condes, Santiago, Chile odescalzi@miuandes.cl.
authors.forename: Orazio
authors.initials: O
authors.lastname: Descalzi
keywords: chaos theory; explosive solitons; numerical simulations