Presentation 2006-12-13
Synchronization Properties of Two Pulse-Coupled Resonate-and-Fire Neuron Models
Kazuki NAKADA, Keiji MIURA, Hatsuo HAYASHI,
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Abstract(in English) In this study, we address synchronization properties of two pulse-coupled resonate-and-fire neuron (RFN) models. The RFN model is a spiking neuron model that has second-order membrane dynamics with a threshold and exhibits subthreshold oscillation of membrane potential, resulting in the sensitivity to the timing of inputs. Moreover, such a sensitivity is affected by reset value. In the previous work, the existence and stability of anti-phase synchronization states have been reported. However, it has not been considered how the reset value affects synchronization properties in two pulse-coupled RFN models. In this report, we show the existence and global stability of newly found N: N synchronization states in out-of-phase. Further we also show bifurcation phenomena depending on coupling strength between two RFN models, leading to the type I intermittency chaos in specific parameter regions.
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Keyword(in English) Resonate-and-Fire Neuron (RFN) Model / Synchronization Phenomena / Type I Intermittency Chaos
Paper # NLP2006-89
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Committee NLP
Conference Date 2006/12/6(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Synchronization Properties of Two Pulse-Coupled Resonate-and-Fire Neuron Models
Sub Title (in English)
Keyword(1) Resonate-and-Fire Neuron (RFN) Model
Keyword(2) Synchronization Phenomena
Keyword(3) Type I Intermittency Chaos
1st Author's Name Kazuki NAKADA
1st Author's Affiliation Graduate School of Life Science and Systems Engineering()
2nd Author's Name Keiji MIURA
2nd Author's Affiliation Graduate School of Frontier Sciences
3rd Author's Name Hatsuo HAYASHI
3rd Author's Affiliation Graduate School of Life Science and Systems Engineering
Date 2006-12-13
Paper # NLP2006-89
Volume (vol) vol.106
Number (no) 413
Page pp.pp.-
#Pages 6
Date of Issue