Abstract
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 language | English |
---|---|
Pages (from-to) | 21-28 |
Number of pages | 8 |
Journal | Electronics and Communications in Japan, Part II: Electronics (English translation of Denshi Tsushin Gakkai Ronbunshi) |
Volume | 89 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2006 Jul |
Keywords
- 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