Interacting pairs of periodic solutions lead to tori in lasers subject to delayed feedback - art. no. 036211

Models of class-B lasers subject to either an optoelectronic or an optical feedback are investigated analytically and numerically. We derive slow time amplitude equations from the laser delay differential equations and find m ultiple bifurcating and isolated branches of periodic solutions. We then sh ow that secondary bifurcations to tori result from the interaction of pairs of Hopf bifurcations. The branches emerging from these bifurcations are fo llowed numerically using a continuation method developed for delay differen tial equations.