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

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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.

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Authors and Affiliations

  1. Institute of Radio Astronomy of NASU, Kharkiv, Ukraine

    A. Yu. Nimets & D. M. Vavriv

Authors
  1. A. Yu. Nimets
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  2. D. M. Vavriv
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Corresponding author

Correspondence to A. Yu. Nimets.

Additional information

Original Russian Text © A.Yu. Nimets, D.M. Vavriv, 2015, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2015, Vol. 58, No. 12, pp. 53–61.

ORCID: 0000-0002-8762-7564

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Nimets, A.Y., Vavriv, D.M. Interaction of high-frequency and low-frequency oscillations in the synchronized oscillator. Radioelectron.Commun.Syst. 58, 568–576 (2015). https://doi.org/10.3103/S0735272715120031

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  • DOI: https://doi.org/10.3103/S0735272715120031

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