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Title: Symmetry-breaking bifurcations in two mutually delay-coupled lasers
Authors: Collera, Juancho A.
Keywords: Symmetry-Breaking Bifurcations
Delay Differential Equations
Delay-Coupled Lasers
Lang- Kobayashi Equations
Equivariant Systems
Issue Date: 2015
Citation: International Journal of Philippine Science and Technology, Vol. 1, No. 1, 2015, pp. 17-21
Abstract: We consider a symmetric system of delay differential equations arising from a model of two mutually delay-coupled semiconductor lasers. The system is described using the Lang-Kobayashi rate equations whose basic solutions are called compound laser modes (CLMs). We employ a group-theoretic approach to find solutions and to identify symmetry-breaking steady-state and Hopf bifurcations. This classification allows us to predict the symmetry group of a bifurcating branch of solutions from a symmetry-breaking bifurcation. Methods and techniques used in this study can be extended to larger symmetric laser networks.
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