Abstract
We derive the discrete maps to describe the dynamics of coupled laser diodes. The maps allow us to find analytically regions of parameters and initial conditions in the functional phase space that correspond to spiking with stable (or nearly stable) phase shift. The method developed is promising for further discussion of controlled switching between periodic states by an impulse injection signal.
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Van der Sande, G., Soriano, M.C., Fischer, I., and Mirasso, C.R., Dynamics, Correlation Scaling, and Synchronization Behavior in Rings of Delay-Coupled Oscillators, Phys. Rev. E, 2008, vol. 77, 055202, 4 p.
Zhou, B.B. and Roy, R., Isochronal Synchrony and Bidirectional Communication with Delay-Coupled Nonlinear Oscillators, Phys. Rev. E, 2007, vol. 75, 026205, 5 p.
Schwartz, I.B. and Shaw, L. B., Isochronal Synchronization of Delay-Coupled Systems, Phys. Rev. E, 2007, vol.75, 046207, 5 p.
Kim, M.-Y., Roy, R., Aron, J. L., Carr, Th.W., and Schwartz, I. B., Scaling Behavior of Laser Population Dynamics with Time-Delayed Coupling: Theory and Experiment, Phys. Rev. Lett., 2005, vol. 94, 088101, 4p.
Silber, M., Fabiny, L., and Wiesenfeld, K., Stability Results for In-Phase and Splay-Phase States of Solid-State Laser Arrays, J. Opt. Soc. Amer. B Opt. Phys., 1993, vol. 10, pp. 1121–1129.
Grigorieva, E.V. and Kashchenko, S.A., Regular and Chaotic Pulsations in Laser Diode with Delayed Feedback, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 1993, vol. 3, pp. 1515–1528.
Vicente, R., Tang, Sh., Mulet, J., Mirasso, C.R., and Lui, J.-M., Dynamics of Semiconductor Lasers with Bidirectional Optoelectronic Coupling: Stability, Route to Chaos and Entrainment, Phys. Rev. E, 2004, vol. 70, 046216, 11 p.
Khovanov, I.A., Khovanova, N. A., Grigorieva, E.V., Luchinsky, D. G., and McClintock, P.V.E., Dynamical Control: Comparison of Map and Continuous-Flow Approaches, Phys. Rev. Lett., 2006, vol. 96, 083903, 4 p.
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Grigorieva, E., Kaschenko, S. Dynamics of spikes in delay coupled semiconductor lasers. Regul. Chaot. Dyn. 15, 319–327 (2010). https://doi.org/10.1134/S1560354710020176
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DOI: https://doi.org/10.1134/S1560354710020176