In this work we consider the possibility of using high frequency periodic parametric influence for the purpose of synchronization of oscillations. The term "synchronization" is used here in a narrow sense as motions in a symmetric subspace (x/sub l/(t)=x/sub 2/(t)). The idea of this method is originated from a classical physical task of a pendulum with vibrating suspension. As it was shown in the literature that certain values of the amplitude and the frequency of the vibration lead to stability of the upper equilibrium of the pendulum. It is known that the task of stability of in-phase motions can be reduced to stability of the zero fixed point of some systems. As high frequency parametric excitation can change the stability of an equilibrium, we can suppose that it can also change the stability of the symmetric motions. Coupled identical oscillators forced in-phase was modelled to be used for testing the described method of synchronization.
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机译：在这项工作中，我们考虑了使用高频周期性参数影响来实现振荡同步的可能性。此处，术语“同步”在狭义上用作对称子空间中的运动（x / sub l /（t）= x / sub 2 /（t））。该方法的思想源于带有振动悬架的摆的经典物理任务。如文献中所示，振动的振幅和频率的某些值导致摆的上平衡的稳定性。众所周知，可以将同相运动的稳定性降低为某些系统的零固定点的稳定性。由于高频参量激励可以改变平衡的稳定性，因此我们可以假设它也可以改变对称运动的稳定性。对耦合的同相振荡器强制同相进行建模，以用于测试所描述的同步方法。
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