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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 2, Pages 243–253
DOI: https://doi.org/10.4213/tmf8720 (Mi tmf8720) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Synchronization in a nonisochronous nonautonomous system

L. A. Kalyakin

Institute of Mathematics with Computer Center, RAS, Ufa, Russia
Full-text PDF (402 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8720
Abstract: We study a model system of nonautonomous nonlinear differential equations arising in magnetodynamics theory. We find constraints on the parameters such that Lyapunov-stable solutions with a stabilized phase exist. These solutions describe the synchronization phenomenon in a nonisochronous system with slowly varying parameters.
Keywords: nonlinear oscillation, asymptotic behavior, synchronization, stability.
Received: 30.05.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 2, Pages 1339–1348
DOI: https://doi.org/10.1007/s11232-014-0216-4
Bibliographic databases:
Language: Russian
Citation: L. A. Kalyakin, “Synchronization in a nonisochronous nonautonomous system”, TMF, 181:2 (2014), 243–253; Theoret. and Math. Phys., 181:2 (2014), 1339–1348
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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