Amplitude synchronization in a system of two coupled semiconductor lasers |
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Authors: | S V Yanchuk K R Schneider O B Lykova |
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Affiliation: | (1) Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev, Ukraine;(2) Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany;(3) Institute of Mathematics, Humboldt University, Berlin, Germany |
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Abstract: | We consider a system of ordinary differential equations used to describe the dynamics of two coupled single-mode semiconductor
lasers. In particular, we study solutions corresponding to the amplitude synchronization. It is shown that the set of these
solutions forms a three-dimensional invariant manifold in the phase space. We study the stability of trajectories on this
manifold both in the tangential direction and in the transverse direction. We establish conditions for the existence of globally
asymptotically stable solutions of equations on the manifold synchronized with respect to the amplitude.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 3, pp. 426–435, March, 2008. |
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