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Chaotic semiconductor laser diodes can be used to §precipitate secure communications schemes via §synchronisation of two such lasers. This book §begins by extending the bifurcation analysis of §Dubbeldam and Krauskopf to dimensionless equations §derived from the Yamada model with terms §representative of spontaneous emission and diffusion §effects included. We show that the bifurcation §diagram changes dramatically at a certain diffusion §level, but that the region of self-pulsation is §still delineated by the Hopf bifurcation curve. §Other models which include recombination effects are §also considered. The excitable region of the §parameter space of the dimensionless equations §derived from the Yamada model with diffusion effects §neglected is considered, and approximations of the §excitability threshold are derived. Finally, §chaotic behaviour arising from sinusoidal modulation §of the pump current is analysed. Lyapunov exponent §calculations are supplemented with a return map §analysis in order to distinguish between periodic §motion and chaos as the modulation depth and §frequency are varied.
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