Nonlinear Dynamics in Semiconductor Lasers - Abstract

Ferré, Michel

Chimera-like states in an array of coupled cavities

We consider coupled cavities filled with kerr media subject to optical injection. The dynamics of this device are described by the discrete Lugiato–Lefever equation. We show that chimera-like states can be stabilized, thanks to the discrete nature of the system [1]. Such chaotic localized structures are unstable in the continuous Lugiato–Lefever model; this is because of dispersive radiation from the tails of localized structures in the form of two counter-propagating fronts between the homogeneous and the complex spatiotemporal state. We characterize the formation of chimera-like states by computing the Lyapunov spectra. We show that localized states have an intermittent spatiotemporal chaotic dynamical nature. These states are generated in a parameter regime characterized by a coexistence between a uniform steady state and a spatiotemporal intermittency state. [1] Clerc, M. G., Ferré, M. A., Coulibaly, S., Rojas, R. G., & Tlidi, M. (2017). Optics letters, 42(15), 2906-2909.