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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 8, Pages 1408–1419 (Mi zvmmf4920)  
This article is cited in 1 scientific paper (total in 1 paper)

Analysis of a synchronization model in an anisochronous system

L. A. Kalyakin

Institute of Mathematics and Computing Centre, Russian Academy of Sciences, ul. Chernyshevskogo 112, Ufa, Bashkortostan, 450008 Russia
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Abstract: A model system of two first-order differential equations that arises in the synchronization theory of nonlinear oscillations is investigated. Constraints on the parameters of the equations under which the synchronization is realized on every solution are found. A domain of the parameters in which the synchronization occurs only for a part of the solution set is determined.
Key words: nonlinear oscillations, small parameter, perturbation, resonance, synchronization.
Received: 10.12.2009
Revised: 24.12.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 8, Pages 1338–1349
DOI: https://doi.org/10.1134/S0965542510080063
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: L. A. Kalyakin, “Analysis of a synchronization model in an anisochronous system”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1408–1419; Comput. Math. Math. Phys., 50:8 (2010), 1338–1349
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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