Abstract
We investigate the onset of chaos in a model for a periodically-forced class-B laser. By periodically modulating the laser-cavity damping rate we consider a pair of coupled nonautonomous ordinary differential equations for the laser intensity and population inversion. As the excitation is increased, the system exhibits saddle-node bifurcations to subharmonic oscillations, period-doubling bifurcations, chaos, and crises. Our investigations focus on the role of a pair of unstable orbits in the onset of the first chaotic attractor. One orbit is a subharmonic saddle while the other is a period one saddle. Upon creation of the period one saddle due to a period doubling bifurcation, its stable manifold immediately forms transverse intersections with the unstable manifold of a coexisting subharmonic saddle forming a heteroclinic crossing. These heteroclinic intersections provide a mechanism for the formation of horseshoes and the development of a chaotic attractor.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
