The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2633–2646 | Cite as

Anti-phase wave patterns in a ring of electrically coupled oscillatory neurons

  • A.S. DmitrichevEmail author
  • V.I. Nekorkin
  • R. Behdad
  • S. Binczak
  • J.-M. Bilbault
Regular Article Applications in Biology and Medicine


Space-time dynamics of the network system modeling collective behavior of electrically coupled nonlinear cells is investigated. The dynamics of a local cell is described by the dimensionless Morris–Lecar system. It is shown that such a system yields a special class of traveling localized collective activity so called “anti-phase wave patterns”. The mechanisms of formation of the patterns are discussed and the region of their existence is obtained by using the weakly coupled oscillators theory.


European Physical Journal Special Topic Stochastic System Homoclinic Orbit Stable Limit Cycle Neighboring Element 
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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • A.S. Dmitrichev
    • 1
    Email author
  • V.I. Nekorkin
    • 1
    • 2
  • R. Behdad
    • 3
  • S. Binczak
    • 3
  • J.-M. Bilbault
    • 3
  1. 1.Institute of Applied Physics of RASNizhny NovgorodRussia
  2. 2.Lobachevsky State University of Nizhny Novgorod, National Research UniversityNizhny NovgorodRussia
  3. 3.LE2I CNRS UMR 6306, University of BurgundyDijonFrance

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