| Sumario: | We describe a Šil'nikov-saddle-node interaction in the proximity of a Hopf-saddle-node bifurcation both from numerical and theoretical viewpoints, inspired by numerical observations on a three-dimensional model of a laser with injected signal. We describe the interaction near the codimension-2 point using a return map controlled by the parameters of the bifurcation. The theoretical predictions compare well with numerical experiments. Finally, we discuss the reasons for the existence of the Šil'nikov-saddle-node bifurcation in the laser with injected signal, and correspondingly, the characteristics of other systems that might display this bifurcation. Copyright © 1997 Elsevier Science B.V. All rights reserved.
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