Rich dynamics of pulse-coupled spiking neurons with a triangular base signal

被引：26

作者：

Kon'no, Y ^{[1
]}

Saito, T ^{[1
]}

Torikai, H ^{[1
]}

机构：

[1] Hosei Univ, EECE Dept, Tokyo 1848584, Japan

来源：

NEURAL NETWORKS | 2005年 / 18卷 / 5-6期

关键词：

spiking neuron; pulse-coupled neural networks; chaos; bifurcation; switched dynamical systems; piecewise linear systems;

D O I：

10.1016/j.neunet.2005.06.024

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a spiking neuron circuit with a triangular base signal. The circuit can output rich pulse-trains and the dynamics can be analyzed using a piecewise linear one-dimensional pulse-position map. Applying cross-switching to two neurons we construct a pulse-coupled system whose dynamics can be integrated into a composite map of the pulse position maps of two neurons. The composite map is piecewise linear and precise analysis is possible. We can clarify various interesting phenomena caused by the pulse-coupling. For example, periodic behavior of each neuron is changed into chaotic behavior and chaotic behavior of each neuron is changed into periodic behavior. These results provide basic information to construct flexible pulse-coupled neural networks. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：523 / 531

页数：9

共 26 条

[1] ON THE ARITHMETIC OF PHASE LOCKING - COUPLED NEURONS AS A LATTICE ON R2 [J].