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Model. Anal. Inform. Sist., 2010, Volume 17, Number 2, Pages 28–47 (Mi mais3)  

This article is cited in 5 scientific papers (total in 5 papers)

Relaxation oscillations of electrically coupled neuron-like systems with delay

S. D. Glyzin

P. G. Demidov Yaroslavl State University

Abstract: The system of diffusion coupled nonlinear differential-difference equations with delay modelling the electrical interaction of pulse neurons is studied. Given the speed of electrical processes in the system is high, the limit system, responsible for relaxation cycles, is constructed. Along with a synchronous cycle the system permits stable asynchronous cycles, which asymptotics are presented.

Keywords: relaxation oscillations, spiking neuron, differential-difference equation, bifurcations.

Full text: PDF file (548 kB)
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UDC: 517.9
Received: 22.03.2010

Citation: S. D. Glyzin, “Relaxation oscillations of electrically coupled neuron-like systems with delay”, Model. Anal. Inform. Sist., 17:2 (2010), 28–47

Citation in format AMSBIB
\Bibitem{Gly10}
\by S.~D.~Glyzin
\paper Relaxation oscillations of electrically coupled neuron-like systems with delay
\jour Model. Anal. Inform. Sist.
\yr 2010
\vol 17
\issue 2
\pages 28--47
\mathnet{http://mi.mathnet.ru/mais3}
\elib{http://elibrary.ru/item.asp?id=15129117}


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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. I. V. Paramonov, “Relaksatsionnye tsikly obobschennogo uravneniya impulsnogo neirona”, Model. i analiz inform. sistem, 18:1 (2011), 106–115  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, E. A. Marushkina, “Relaksatsionnye tsikly v obobschennoi neironnoi modeli s dvumya zapazdyvaniyami”, Model. i analiz inform. sistem, 20:6 (2013), 179–199  mathnet
    5. 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
  • Моделирование и анализ информационных систем
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