Pulse-coupled resonate-and-fire models

Keiji Miura, Masato Okada

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We analyze two pulse-coupled resonate-and-fire neurons. Numerical simulation reveals that an antiphase state is an attractor of this model. We can analytically explain the stability of antiphase states by means of a return map of firing times, which we propose in this paper. The resultant stability condition turns out to be quite simple. The phase diagram based on our theory shows that there are two types of antiphase states. One of these cannot be seen in coupled integrate-and-fire models and is peculiar to resonate-and-fire models. The results of our theory coincide with those of numerical simulations.

Original languageEnglish
Pages (from-to)7
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number2
Publication statusPublished - 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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