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Model. Anal. Inform. Sist., 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

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.

Full text: PDF file (614 kB)
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UDC: 517.9
Received: 22.04.2010

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. D. Glyzin, E. A. Soldatova, “Faktor zapazdyvaniya i desinkhronizatsiya kolebanii svyazannykh ostsillyatorov FittsKhyu–Nagumo”, Model. i analiz inform. sistem, 17:3 (2010), 134–143  mathnet
    2. S. D. Glyzin, E. A. Marushkina, “Pakety impulsov v sisteme vzaimodeistvuyuschikh ostsillyatorov s zapazdyvaniem i ikh statisticheskaya obrabotka”, Model. i analiz inform. sistem, 19:3 (2012), 82–96  mathnet
    3. A. O. Tolbei, “Lokalnaya dinamika trekh ostsillyatorov so svyazyu veschatelnogo tipa”, Model. i analiz inform. sistem, 19:3 (2012), 105–112  mathnet
    4. S. D. Glyzin, A. Yu. Kolesov, E. A. Marushkina, “Relaksatsionnye avtokolebaniya v sisteme iz dvukh sinapticheski svyazannykh impulsnykh neironov”, Model. i analiz inform. sistem, 24:1 (2017), 82–93  mathnet  crossref  mathscinet  elib
    5. E. A. Marushkina, “Periodicheskie i kvaziperiodicheskie resheniya v sisteme trekh uravnenii Khatchinsona s zapazdyvayuschei veschatelnoi svyazyu”, Model. i analiz inform. sistem, 25:1 (2018), 102–111  mathnet  crossref  elib
    6. S. D. Glyzin, E. A. Marushkina, “Neuporyadochennye kolebaniya v neiroseti iz trekh ostsillyatorov s zapazdyvayuschei veschatelnoi svyazyu”, Model. i analiz inform. sistem, 25:5 (2018), 572–583  mathnet  crossref
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