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

Autores: Temnaya O.S.¹, Safin A.R.¹^,2, Kravchenko O.V.¹^,3, Nikitov S.A.¹^,3^,4
Afiliações:
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
Edição: Volume 68, Nº 9 (2023)
Páginas: 893-896
Seção: К 70-ЛЕТИЮ ИРЭ ИМ. В.А. КОТЕЛЬНИКОВА РАН
URL: https://rjpbr.com/0033-8494/article/view/650472
DOI: https://doi.org/10.31857/S0033849423090231
EDN: https://elibrary.ru/SJESLH
ID: 650472

Citar

Texto integral

Acesso aberto
Acesso é fechado

Acesso está concedido
Acesso é fechado

Acesso é pago ou somente para assinantes

Resumo
Sobre autores
Bibliografia
Arquivos suplementares
Estatísticas

Resumo

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.

Palavras-chave

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

Bibliografia

Kato T. A Short Introduction to Perturbation Theory for Linear Operators. N.Y.: Springer., 2011. https://doi.org/10.1007/978-1-4612-5700-4
Wiersig J. // Photon. Res. 2020. V. 8. № 9. P. 1457. https://doi.org/10.1364/PRJ.396115
Weidong C., Wang C., Chen W. et al. // Nat. Nanotech. 2022. V. 17. Article No. 262268. https://doi.org/10.1038/s41565-021-01038-4
Зябловский А.А., Виноградов А.П., Пухов А.А. и др. // Успехи физ. наук. 2014. Т. 184. № 11. С. 1177. https://doi.org/10.3367/UFNr.0184.201411b.1177
Rüter C., Makris K., El-Ganainy R. // Nat. Phys. 2010. V. 6. Article No. 192195. https://doi.org/10.1038/nphys1515
Вилков Е.A., Бышевский-Конопко О.А., Темная О.С. и др. // Письма в ЖТФ. 2022. Т. 48. № 24. С. 38. https://doi.org/10.21883/PJTF.2022.24.54023.19291
Zhu X., Ramezani H., Shi C. et al. // Phys. Rev. X 2014. V. 4. Article No. 031042. https://doi.org/10.1103/PhysRevX.4.031042
Wittrock S., Perna S., Lebrun R. et al. // arXiv: 2108.04804.
Liu H., Sun D., Zhang C. et al. // Sci. Adv. 2019. V. 5. № 11. Article No. aax9144. https://doi.org/10.1126/sciadv.aax9144
Temnaya O.S., Safin A.R., Kalyabin D.V., Nikitov S.A. // Phys. Rev. Appl. 2022. V. 18. Article No. 014003. https://doi.org/10.1103/PhysRevApplied.18.014003
Sadovnikov A.V., Zyablovsky A.A., Dorofeenko A.V., Nikitov S.A. // Phys. Rev. Appl. 2022. V. 18. Article No. 024073. https://doi.org/10.1103/PhysRevApplied.18.024073
Rajasekar S., Sanjuan M. Nonlinear Resonances. Cham: Springer, 2015.
Рабинович И.М., Трубецков Д.И. Введение в теорию колебаний и волн. Ижевск: НИЦ РХД, 2000.
Moon K.-W., Chun B.S., Kim W. et al. // Sci. Reports. 2014. V. 4. Article No. 6170.