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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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New delay differential equation problems in nonlinear optics
by
Thomas Erneux
Université Libre de Bruxelles, Optique Nonlinéaire Théorique, Campus Plaine, C.P. 231, 1050 Bruxelles, Belgium
Coauthors: Laurent Larger, Michel Nizette, Marc Sciamanna, Kirk Green, Dirk Roose

The study of delay differential equations is revived by new problems appearing in nonlinear optics and laser physics. We describe a Hopf bifurcation from infinity for a passive cavity subject to a delayed feedback and Hopf bifurcation bridges connecting isolated branches for semiconductor lasers subject to optical feedback. Analytical solutions are constructed by using singular perturbation techniques.

Date received: June 10, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calo-89.