Effect of periodic parametric excitation on an ensemble of force-coupled self-oscillators.
We report the synchronization behavior in an ensemble of identical limit cycle oscillators coupled to a mass-spring load via a force relation. We consider the effect of periodic parametric modulation on the final states of the system. Two types of external parametric excitations are investigated numerically: periodic modulation of the stiffness of the inertial oscillator and periodic excitation of the frequency of the self-oscillatory element. We show that the synchronization scenarios are not only ruled by the choice of parameters of the excitation force but also depend on the initial collective state in the ensemble. We give detailed analysis of entrainment behavior for initially synchronous or antiphase synchronous states as well as for disorganized states.
Shchekinova
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Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany. elenash@pks.mpg.de