Bifurcation analysis of inhibitory responses of A PWC spiking neuron model

被引：0

作者：

Yamashita, Yutaro ^{[1
]}

Torikai, Hiroyuki ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, 1-3 Machikaneyama, Toyonaka, Osaka, Japan

来源：

IEICE NONLINEAR THEORY AND ITS APPLICATIONS | 2012年 / 3卷 / 04期

关键词：

spiking neuron model; bifurcation; piece-wise constant vector field; VLSI neuron;

D O I：

10.1587/nolta.3.557

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A piece- wise constant (ab. PWC) spiking neuron model (ab. PWN) has a PWC vector field with a state-dependent reset and is designed to reproduce responses of neurons. Based on analysis techniques for discontinuous ODEs, the dynamics of inhibitory responses of the PWN can be reduced into an one-dimensional iterative map analytically. Using the map, it is shown that the PWN can reproduce bifurcation scenarios of inhibitory responses, which are qualitatively similar to those of the Izhikevich model. In addition, a typical bifurcation scenario can be observed in an actual hardware.

引用

页码：557 / 572

页数：16

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