Negative phase and leader switching in non-weakly coupled two-cell inhibitory networks

Victor Matveev, Myongkeun Oh

Research output: Chapter in Book/Report/Conference proceedingChapter


We examine the dynamics of a non-weakly coupled inhibitory network of two identical Morris-Lecar model neurons with type-I excitability, which was recently shown to exhibit stable alternating-order activity, whereby the spiking order of the two cells changes in each cycle of the oscillation. We provide an intuitive geometric description of such leader switching and demonstrate that the concept of negative phase allows to analyze the existence and stability of such alternating-order dynamics.

Original languageEnglish (US)
Title of host publicationFrontiers of Applied and Computational Mathematics
Subtitle of host publicationNew Jersey Institute of Technology, USA, 19 - 21 May 2008
PublisherWorld Scientific Publishing Co.
Number of pages9
ISBN (Electronic)9789812835291
ISBN (Print)9789812835284
StatePublished - Jan 1 2008

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy


  • Inhibitory network
  • Leader switching
  • Non-weakly coupled oscillators
  • Synchronization


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