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Modelirovanie i Analiz Informatsionnykh Sistem, 2010, Volume 17, Number 2, Pages 133–143 (Mi mais9)  

This article is cited in 6 scientific papers (total in 6 papers)

The account of delay in a connecting element between two oscillators

S. D. Glyzin, E. O. Kiseleva

P. G. Demidov Yaroslavl State University
Full-text PDF (614 kB) Citations (6)
References:
Abstract: Dynamics of two diffusion coupled close oscillators occuring in nerve cell simulation is considered. The delay of passage the pulse in the connecting element between the oscillators is taken into account. For parameters close to critical values the normal form for amplitude and phase variables is constructed. Phase reconstructions of the normal form when changing the parameters describing connection element are analyzed. It is shown that, the introduction of delay leads to significant changes in the scenario of phase reconstructions.
Keywords: autooscillations, delay, normal form, Lyapunov's exponents, bifurcations, synchronization.
Received: 22.04.2010
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. D. Glyzin, E. O. Kiseleva, “The account of delay in a connecting element between two oscillators”, Model. Anal. Inform. Sist., 17:2 (2010), 133–143
Citation in format AMSBIB
\Bibitem{GlyKis10}
\by S.~D.~Glyzin, E.~O.~Kiseleva
\paper The account of delay in a connecting element between~two~oscillators
\jour Model. Anal. Inform. Sist.
\yr 2010
\vol 17
\issue 2
\pages 133--143
\mathnet{http://mi.mathnet.ru/mais9}
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  • https://www.mathnet.ru/eng/mais/v17/i2/p133
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Моделирование и анализ информационных систем
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