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Zh. Vychisl. Mat. Mat. Fiz., 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

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.

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English version:
Computational Mathematics and Mathematical Physics, 2010, 50:8, 1338–1349

Bibliographic databases:

Document Type: Article
UDC: 519.624.2
Received: 10.12.2009
Revised: 24.12.2009

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. L. A. Kalyakin, “Synchronization in a nonisochronous nonautonomous system”, Theoret. and Math. Phys., 181:2 (2014), 1339–1348  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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