Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2020, Volume 16, Issue 2, Pages 186–199
DOI: https://doi.org/10.21638/11701/spbu10.2020.210 (Mi vspui450) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Control processes

Dynamics and synchronization in feedback cyclic structures with hysteresis oscillators

A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
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DOI: https://doi.org/10.21638/11701/spbu10.2020.210
Abstract: Consider the dynamics of complex systems with cyclic links. The systems have the ring structures composed of hysteresis-feedback oscillators. In one of these systems, each oscillator has an additional feedback with the next oscillator. Sufficient conditions for the existence of periodic and recurrent motions are established. The periodic motion corresponds to a synchronous process occurring in such cyclic structures. In particular cases, we obtain the conditions for synchronization, as well as the stability conditions for synchronous oscillatory processes.
Keywords: complex system dynamics, cyclic structure, oscillator, hysteresis feedback, synchronization, stability.
Received: February 17, 2020
Accepted: May 28, 2020
Document Type: Article
UDC: 517.925
MSC: 34C15, 34C25, 34C55
Language: Russian
Citation: A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva, “Dynamics and synchronization in feedback cyclic structures with hysteresis oscillators”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 16:2 (2020), 186–199
Citation in format AMSBIB
\Bibitem{KamPotYev20}
\by A.~M.~Kamachkin, D.~K.~Potapov, V.~V.~Yevstafyeva
\paper Dynamics and synchronization in feedback cyclic structures with hysteresis oscillators
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2020
\vol 16
\issue 2
\pages 186--199
\mathnet{http://mi.mathnet.ru/vspui450}
\crossref{https://doi.org/10.21638/11701/spbu10.2020.210}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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