The influence of nonlinearity on a singular point in a system of coupled Duffing oscillators

O. S. Temnaya; Темная О. С.; A. R. Safin; Сафин А. Р.; O. V. Kravchenko; Кравченко О. В.; S. A. Nikitov; Никитов С. А.

doi:10.31857/S0033849423090231

The influence of nonlinearity on a singular point in a system of coupled Duffing oscillators

Authors: Temnaya O.S.¹, Safin A.R.¹^,2, Kravchenko O.V.¹^,3, Nikitov S.A.¹^,3^,4
Affiliations:
1. Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences
2. Moscow Power Engineering Institute (National research University)
3. Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RAS
4. Saratov State University (National research University
Issue: Vol 68, No 9 (2023)
Pages: 893-896
Section: К 70-ЛЕТИЮ ИРЭ ИМ. В.А. КОТЕЛЬНИКОВА РАН
URL: https://journals.rcsi.science/0033-8494/article/view/138413
DOI: https://doi.org/10.31857/S0033849423090231
EDN: https://elibrary.ru/SJESLH
ID: 138413

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Abstract
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Abstract

The influence of nonlinearity on the displacement of a singular point in a system of two connected Duffing oscillators when coupling coefficients and insertion losses change. It is shown that the displacement of the singular point when the nonlinearity coefficient changes is accompanied by a decrease in the amplitude of the excited oscillations and a shift in the resonant frequency. The threshold values of the nonlinearity, coupling, and insertion loss coefficients at which a singular point occurs are numerically found. It is shown that an increase in the nonlinearity coefficient leads to a decrease in the threshold value of the insertion losses required for the formation of a singular point.

Keywords

two connected Duffing oscillators, ecrease in the amplitude of the excited oscillations, shift in the resonant frequency

References

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