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Conditions for Synchronization of One Oscillation System

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Using methods of perturbation theory, we investigate the global behavior of trajectories on a toroidal attractor and in its neighborhood for a system of differential equations that arises in the study of synchronization of oscillations in the mathematical model of an optical laser.

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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 7, pp. 922–945, July, 2005.

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Samoilenko, A.M., Recke, L. Conditions for Synchronization of One Oscillation System. Ukr Math J 57, 1089–1119 (2005). https://doi.org/10.1007/s11253-005-0250-3

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  • DOI: https://doi.org/10.1007/s11253-005-0250-3

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