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Zhurnal Tekhnicheskoi Fiziki, 2021, Volume 91, Issue 11, Pages 1619–1624
DOI: https://doi.org/10.21883/JTF.2021.11.51519.145-21 (Mi jtf4882) 		 
Theoretical and Mathematical Physics

Two coupled quasiperiodic generators excited by external force

A. P. Kuznetsova, Yu. V. Sedovaa, N. V. Stankevichab

a Saratov Branch of the Institute of Radio Engineering and Electronics
b State University – Higher School of Economics, Nizhny Novgorod Branch
Full-text PDF (1737 kB)
DOI: https://doi.org/10.21883/JTF.2021.11.51519.145-21
Abstract: A system of two dissipatively coupled generators, which can exhibit autonomous quasiperiodic oscillations, excited by a harmonic signal, is studied. Lyapunov charts are presented that reveal the regimes of invariant tori of different dimensions and chaos. Phase portraits in stroboscopic section and double Poincare section are presented. The coexistence of different regimes, in particular, the bifurcations of invariant tori, is discussed.
Keywords: quasiperiodic oscillations, coupled generators, Lyapunov charts, invariant torus, Poincare section, quasiperiodic bifurcation.
Funding agency Grant number
Russian Science Foundation 21-12-00121
Received: 17.05.2021
Revised: 07.06.2021
Accepted: 08.06.2021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. P. Kuznetsov, Yu. V. Sedova, N. V. Stankevich, “Two coupled quasiperiodic generators excited by external force”, Zhurnal Tekhnicheskoi Fiziki, 91:11 (2021), 1619–1624
Citation in format AMSBIB
\Bibitem{KuzSedSta21}
\by A.~P.~Kuznetsov, Yu.~V.~Sedova, N.~V.~Stankevich
\paper Two coupled quasiperiodic generators excited by external force
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2021
\vol 91
\issue 11
\pages 1619--1624
\mathnet{http://mi.mathnet.ru/jtf4882}
\crossref{https://doi.org/10.21883/JTF.2021.11.51519.145-21}
\elib{https://elibrary.ru/item.asp?id=46638318}
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