Abstract
We present results of numerical investigations on the complex spatiotemporal dynamics of semiconductor laser arrays. The diffusion of charge carriers turns out to be essential for instabilities in the output intensity above the laser threshold. Besides other bifurcations, a period doubling of a torus is found. The Karhunen-Loeve decomposition gives the dominant modes of the spatiotemporal dynamics of the output intensity and provides a measure of the number of spatiotemporal degrees of freedom.
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