Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2018, Volume 14, Number 3, Pages 367–376
DOI: https://doi.org/10.20537/nd180307 (Mi nd619) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Synchronization of Quasiperiodic Oscillations

A. D. Morozov, K. E. Morozov

Lobachevsky State University of Nizhny Novgorod, prosp. Gagarina 23, Nizhny Novgorod, 603950, Russia
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DOI: https://doi.org/10.20537/nd180307
Abstract: We study the role of quasi-periodic perturbations in systems close to two-dimensional Hamiltonian ones. Similarly to the problem of the influence of periodic perturbations on a limit cycle, we consider the problem of the passage of an invariant torus through a resonance zone. The conditions for synchronization of quasi-periodic oscillations are established. We illustrate our results using the Duffing –Van der Pol equation as an example.
Keywords: resonances, quasi-periodic, periodic, synchronization, averaged system, phase curves, equilibrium states.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00306
16-01-00364
Russian Science Foundation 14-41-00044
Ministry of Education and Science of the Russian Federation 1.3287.2017/PCh
This work was supported by the Russian Foundation for Basic Research under grants nos. 18-01-00306, 16-01-00364 and by the Russian Science Foundation under grant no. 14-41-00044, by the Ministry of Education and Science of the Russian Federation (project no. 1.3287.2017/PCh).
Received: 11.05.2018
Accepted: 22.06.2018
Bibliographic databases:
Document Type: Article
MSC: 34C15
Language: English
Citation: A. D. Morozov, K. E. Morozov, “On Synchronization of Quasiperiodic Oscillations”, Nelin. Dinam., 14:3 (2018), 367–376
Citation in format AMSBIB
\Bibitem{MorMor18}
\by A. D. Morozov, K. E. Morozov
\paper On Synchronization of Quasiperiodic Oscillations
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 3
\pages 367--376
\mathnet{http://mi.mathnet.ru/nd619}
\crossref{https://doi.org/10.20537/nd180307}
\elib{https://elibrary.ru/item.asp?id=36296376}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056278049}
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