title: Characterization of spatiotemporal chaos in a Kerr optical frequency comb and in all fiber cavities.
abstract: Complex spatiotemporal dynamics have been a subject of recent experimental investigations in optical frequency comb microresonators and in driven fiber cavities with Kerr-type media. We show that this complex behavior has a spatiotemporal chaotic nature. We determine numerically the Lyapunov spectra, allowing us to characterize different dynamical behavior occurring in these simple devices. The Yorke-Kaplan dimension is used as an order parameter to characterize the bifurcation diagram. We identify a wide regime of parameters where the system exhibits a coexistence between the spatiotemporal chaos, the oscillatory localized structure, and the homogeneous steady state. The destabilization of an oscillatory localized state through radiation of counter-propagating fronts between the homogeneous and the spatiotemporal chaotic states is analyzed. To characterize better the spatiotemporal chaos, we estimate the front speed as a function of the pump intensity.
authors.forename: Z
authors.initials: Z
authors.lastname: Liu
authors.forename: M
authors.initials: M
authors.lastname: Ouali
authors.forename: S
authors.initials: S
authors.lastname: Coulibaly
authors.forename: M G
authors.initials: MG
authors.lastname: Clerc
authors.forename: M
authors.initials: M
authors.lastname: Taki
authors.forename: M
authors.initials: M
authors.lastname: Tlidi