par Weicker, Lionel 
;Erneux, Thomas ;D'Huys, Ottilde;Danckaert, Jan;Jacquot, Maxime;Larger, Laurent
Référence Philosophical transactions - Royal Society. Mathematical, Physical and engineering sciences, 371, 1999
Publication Publié, 2013-08-19
;Erneux, Thomas ;D'Huys, Ottilde;Danckaert, Jan;Jacquot, Maxime;Larger, LaurentRéférence Philosophical transactions - Royal Society. Mathematical, Physical and engineering sciences, 371, 1999
Publication Publié, 2013-08-19
Article révisé par les pairs
| Résumé : | Square-wave oscillations exhibiting different plateau lengths have been observed experimentally by investigating an electro-optic oscillator. In a previous study, we analysed the model delay differential equations and determined an asymptotic approximation of the two plateaus. In this paper, we concentrate on the fast transition layers between plateaus and show how they contribute to the total period. We also investigate the bifurcation diagram of all possible stable solutions. We show that the square waves emerge from the first Hopf bifurcation of the basic steady state and that theymay coexist with stable lowfrequency periodic oscillations for the same value of the control parameter. © 2013 The Author(s) Published by the Royal Society. All rights reserved. |
