Presentation 2004/1/19
Pulse Coupled Resonate-and-Fire Models (Neurocomputing)
Keiji MIURA, Masato OKADA,
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Abstract(in English) We analyze two pulse-coupled resonate-and-fire neurons. Numerical simulation shows that an anti-phase-locked state is an attractor of this model. We can analytically explain stability of anti-phase-locked 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-locked states. One of them 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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Keyword(in English) Pulse-coupled neurons / Spikes / Resonance / Return map / Resonate-and-fire
Paper # NC2003-113
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Committee NC
Conference Date 2004/1/19(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Pulse Coupled Resonate-and-Fire Models (Neurocomputing)
Sub Title (in English)
Keyword(1) Pulse-coupled neurons
Keyword(2) Spikes
Keyword(3) Resonance
Keyword(4) Return map
Keyword(5) Resonate-and-fire
1st Author's Name Keiji MIURA
1st Author's Affiliation Faculty of Science, Kyoto University()
2nd Author's Name Masato OKADA
2nd Author's Affiliation Laboratory for Mathematical Neuroscience, Brain Science Institute, RIKEN:"Intelligent Cooperation and Control", PRESTO, JST
Date 2004/1/19
Paper # NC2003-113
Volume (vol) vol.103
Number (no) 601
Page pp.pp.-
#Pages 6
Date of Issue