title: Chaotic breathers in delayed electro-optical systems.
abstract: We show that in integro-differential delayed dynamical systems, a hybrid state of simultaneous fast-scale chaos and slow-scale periodicity can emerge subsequently to a sequence of Hopf bifurcations. The resulting time trace thereby consists in chaotic oscillations "breathing" periodically at a significantly lower frequency. Experimental evidence of this type of dynamics in delayed dynamical systems is achieved with a Mach-Zehnder modulator optically fed by a semiconductor laser and is subjected to a delayed nonlinear electro-optical feedback. We also propose a theoretical understanding of the phenomenon.
authors.affiliation: Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain. ckyanne@imedea.uib.es
authors.forename: Y Chembo
authors.initials: YC
authors.lastname: Kouomou
authors.forename: Pere
authors.initials: P
authors.lastname: Colet
authors.forename: Laurent
authors.initials: L
authors.lastname: Larger
authors.forename: Nicolas
authors.initials: N
authors.lastname: Gastaud