Conditions for Synchronization of One Oscillation System
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.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 7, pp 1089-1119.
Citation Example: Recke L., Samoilenko A. M. Conditions for Synchronization of One Oscillation System // Ukr. Mat. Zh. - 2005. - 57, № 7. - pp. 922–945.