Abstract This work deals with effect of external force on the dynamics of mutually coupled self-excited oscillators. Self-excited oscillators with linear and non-linear coupling are considered. The phase-amplitude equations or Adler equations are obtained analytically in both cases with Krylov and Bogoliubov method of averaging and these equations are used to analyze the effect of external force on their synchronization dynamics. Computational results are obtained by numerical integrations to validate the analytical results. For linearly coupled oscillators, the effect of external force on synchronization are studied. For nonlinear coupling, it's shown that in-phase synchronization is not possible even if the coupling values are varied. Such a system is brought into synchronization with effect of external force. Also, for both cases, non-synchronized cases are brought into synchronization with the aid of external force. This work shows that, even small amplitude of external disturbances, can produce considerable effect on the synchronization dynamics of coupled systems and thus should be given due importance in practical scenarios
R. Rajeev, Govind, M., and B. Balaram, “Effect of External Force on the Dynamics of Nonlinearly Coupled Self Excited Oscillators”, Procedia Engineering, vol. 144, pp. 1007 - 1014, 2016.