The problem of coupled oscillations is considered in the case when a stable equilibrium of a globally averaged system passes through a resonance curve. Questions of persistence of invariant tori and transition to a self-synchronization are particularly discussed.
Keywords:
near-integrable systems, coupled oscillations, resonances, self-synchronization
Citation:
Karabanov A. A., Morozov A. D., To the theory of coupled oscillations passing through the resonance , Regular and Chaotic Dynamics,
2006, Volume 11, Number 2,
pp. 259-268