par Weicker, Lionel 
;Erneux, Thomas ;D'Huys, Ottilde;Danckaert, Jan;Jacquot, Maxime;Chembo, Yanne Kouomou;Larger, Laurent
Référence Physical review. E, Statistical, nonlinear, and soft matter physics, 86, 055201(R)
Publication Publié, 2012-11-29
;Erneux, Thomas ;D'Huys, Ottilde;Danckaert, Jan;Jacquot, Maxime;Chembo, Yanne Kouomou;Larger, LaurentRéférence Physical review. E, Statistical, nonlinear, and soft matter physics, 86, 055201(R)
Publication Publié, 2012-11-29
Article révisé par les pairs
| Résumé : | 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. © 2012 American Physical Society. |
