Sil'nikov-saddle-node Interaction near a Codimension 2 Bifurcation: Laser with Injected Signal
نویسنده
چکیده
We describe a Sil'nikov-Saddle-Node interaction in the proximity of a Hopf-Saddle-Node bifurcation both from numerical and theoretical viewpoints, inspired in numerical observations of a 3D 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 Sil'nikov-Saddle-Node bifurcation in the laser with injected signal, and correspondingly, the characteristics of other systems that might display this bifurcation.
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