DOI: https://doi.org/10.3103/S0735272715120031
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Synchronous oscillations on the plane of parameters

Interaction of high-frequency and low-frequency oscillations in the synchronized oscillator

Anastasiia Yu. Nimets, D. M. Vavriv

Abstract


Theoretical analysis of the oscillation synchronization under conditions of simultaneous low-frequency and high-frequency external impact on the oscillator has been conducted using an example of the generalized Van der Pol oscillator. It was shown that the interaction of high-frequency and low-frequency oscillations resulted in the appearance of additional regions of synchronization as a result of three-frequency interaction between the frequencies of such interaction and the natural frequency of oscillator. For the case of three-frequency interaction, characteristics of synchronous oscillations were determined and compared with those for the case of primary tone synchronization of oscillator.

Keywords


synchronization; Van der Pol oscillator; three-frequency interaction

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References


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