dorsal/arxiv
View SchemaPulse-coupled resonate-and-fire models
| Authors | Keiji Miura, Masato Okada |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0404021 |
| URL | https://arxiv.org/abs/q-bio/0404021 |
| DOI | 10.1103/PhysRevE.70.021914 |
Abstract
We analyze two pulse-coupled resonate-and-fire neurons. Numerical simulation reveals that an anti-phase state is an attractor of this model. We can analytically explain the stability of anti-phase 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 anti-phase 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.
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"abstract": "We analyze two pulse-coupled resonate-and-fire neurons. Numerical simulation\nreveals that an anti-phase state is an attractor of this model. We can\nanalytically explain the stability of anti-phase states by means of a return\nmap of firing times, which we propose in this paper. The resultant stability\ncondition turns out to be quite simple. The phase diagram based on our theory\nshows that there are two types of anti-phase states. One of these cannot be\nseen in coupled integrate-and-fire models and is peculiar to resonate-and-fire\nmodels. The results of our theory coincide with those of numerical simulations.",
"arxiv_id": "q-bio/0404021",
"authors": [
"Keiji Miura",
"Masato Okada"
],
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"q-bio.NC"
],
"doi": "10.1103/PhysRevE.70.021914",
"title": "Pulse-coupled resonate-and-fire models",
"url": "https://arxiv.org/abs/q-bio/0404021"
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