title: Interaction between Liénard and Ikeda dynamics in a nonlinear electro-optical oscillator with delayed bandpass feedback.
abstract: We report on experimental and theoretical analysis of the complex dynamics generated by a nonlinear time-delayed electro-optic bandpass oscillator. We investigate the interaction between the slow- and fast-scale dynamics of autonomous oscillations in the breather regime. We analyze in detail the coupling between the fast-scale behavior associated to a characteristic low-pass Ikeda behavior and the slow-scale dynamics associated to a Liénard limit-cycle. Finally, we show that when projected onto a two-dimensional phase space, the attractors corresponding to periodic and chaotic breathers display a spiral-like pattern, which strongly depends on the shape of the nonlinear function.
authors.affiliation: FEMTO-ST Institute, CNRS & University Bourgogne Franche-Comté, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors.forename: Bicky A
authors.initials: BA
authors.lastname: Marquez
authors.affiliation: FEMTO-ST Institute, CNRS & University Bourgogne Franche-Comté, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors.forename: Laurent
authors.initials: L
authors.lastname: Larger
authors.affiliation: FEMTO-ST Institute, CNRS & University Bourgogne Franche-Comté, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors.forename: Daniel
authors.initials: D
authors.lastname: Brunner
authors.affiliation: FEMTO-ST Institute, CNRS & University Bourgogne Franche-Comté, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors.forename: Yanne K
authors.initials: YK
authors.lastname: Chembo
authors.affiliation: FEMTO-ST Institute, CNRS & University Bourgogne Franche-Comté, 15B Avenue des Montboucons, 25030 Besançon Cedex, France.
authors.forename: Maxime
authors.initials: M
authors.lastname: Jacquot