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1 ULB - Optique Nonlinéaire Théorique - Université Libre de Bruxelles - Optique Nonlinéaire Théorique 2 APHY - Applied Physics Research Group - Vrije Universiteit Brussel 3 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies

Abstract : Time-delayed systems are known to exhibit symmetric square waves oscillating with a period close to twice the delay. Here, we show that strongly asymmetric square waves of a period close to one delay are possible. The plateau lengths can be tuned by changing a control parameter. The problem is investigated experimentally and numerically using a simple bandpass optoelectronic delay oscillator modeled by nonlinear delay integrodifferential equations. An asymptotic approximation of the square-wave periodic solution valid in the large delay limit allows an analytical description of its main properties extrema and square pulse durations. A detailed numerical study of the bifurcation diagram indicates that the asymmetric square waves emerge from a Hopf bifurcation.

Author: Lionel Weicker - Thomas Erneux - Otti D-Huys - Jan Danckaert - Maxime Jacquot - Yanne Kouomou Chembo - Laurent Larger -



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