title: Mixed-mode oscillations in slow-fast delayed optoelectronic systems.
abstract: In this article, we investigate the dynamical behavior of breathers in optoelectronic oscillators from the standpoint of mixed-mode oscillations. In the phase space, these breathers are composite oscillations that are damped to the attractive branches of an invariant manifold. Our study shows that the emergence of breather dynamics is linked to the apparition of inflection points in the phase space, and we develop an analytical framework based on the Liénard reduction form in order to provide an analytical insight into this phenomenology. Our theoretical results are in excellent agreement with experimental measurements.
authors: Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, University of Yaoundé I, Department of Physics, P.O. Box 812, Yaoundé, Cameroon and African Center of Excellence for Information and Communication Technologies (CETIC), Polytechnic School of Yaoundé, P.O. Box 8390 Yaoundé, Cameroon.
authors: Jimmi H
authors: JH
authors: Talla Mbé
authors: Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, University of Yaoundé I, Department of Physics, P.O. Box 812, Yaoundé, Cameroon and African Center of Excellence for Information and Communication Technologies (CETIC), Polytechnic School of Yaoundé, P.O. Box 8390 Yaoundé, Cameroon.
authors: Alain F
authors: AF
authors: Talla
authors: Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, University of Yaoundé I, Department of Physics, P.O. Box 812, Yaoundé, Cameroon and African Center of Excellence for Information and Communication Technologies (CETIC), Polytechnic School of Yaoundé, P.O. Box 8390 Yaoundé, Cameroon.
authors: Geraud R Goune
authors: GR
authors: Chengui
authors: FEMTO-ST Institute [CNRS UMR6174], Optics Department, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors: Aurélien
authors: A
authors: Coillet
authors: FEMTO-ST Institute [CNRS UMR6174], Optics Department, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors: Laurent
authors: L
authors: Larger
authors: Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, University of Yaoundé I, Department of Physics, P.O. Box 812, Yaoundé, Cameroon.
authors: Paul
authors: P
authors: Woafo
authors: FEMTO-ST Institute [CNRS UMR6174], Optics Department, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors: Yanne K
authors: YK
authors: Chembo