Pulse-coupled resonate-and-fire models

Keiji Miura, Masato Okada

Research output: Contribution to journalArticlepeer-review


Numerical simulations and theory are used to discuss the antiphase state of a system in which two resonate-and-fire models are pulse coupled. First, numerical simulations show that antiphase states are an attractor of this model. Next, the stability of the antiphase states is explained theoretically by constructing a return map of the firing times. The condition for which the stability changes is an extremely simple equation. The authors created a phase diagram based on the theory and discovered that there are two types of antiphase states. One of these is unique to the resonate-and-fire model and does not appear in the integrate-and-fire model. Finally, the authors execute numerical simulations to verify the correctness of the theory of stability.

Original languageEnglish
Pages (from-to)21-28
Number of pages8
JournalElectronics and Communications in Japan, Part II: Electronics (English translation of Denshi Tsushin Gakkai Ronbunshi)
Issue number7
Publication statusPublished - 2006 Jul


  • Pulse-coupled neurons
  • Resonance
  • Resonate-and-fire
  • Return map
  • Spike

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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