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Generation of firing rhythm patterns and synchronization in the Morris-Lecar neuron model

  • Haixia Wang*
  • , Qishao Lu
  • , Qingyun Wang
  • *Corresponding author for this work
  • Beihang University

Research output: Contribution to journalArticlepeer-review

Abstract

A single Morris-Lecar neuron model can produce a variety of spontaneous firing rhythm patterns, such as spiking and bursting activities, by adjustment of the equilibrium potential of potassium channel. In the two electrically coupled identical Morris-Lecar neurons, it is shown that the increase of the coupling strength induces complete synchronization. The critical value is determined as a function of the conditional Lyapunov exponents of the synchronization manifold, the mean synchronization error and the maximum synchronization error. Based on a well-defined phase function, phase synchronization of two coupled Morris-Lecar neurons is further studied.

Original languageEnglish
Pages (from-to)7-12
Number of pages6
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume6
Issue number1
DOIs
StatePublished - 2005

Keywords

  • Conditional Lyapunov exponent
  • Firing rhythm patterns
  • Synchronization

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