2005 Special Issue: Rich dynamics of pulse-coupled spiking neurons with a triangular base signal

Authors:
Yoshio Kon'no;Toshimichi Saito;Hiroyuki Torikai
Affiliations:
EECE Department, Hosei University Tokyo, 184-8584 Japan;EECE Department, Hosei University Tokyo, 184-8584 Japan;EECE Department, Hosei University Tokyo, 184-8584 Japan
Venue:
Neural Networks - 2005 Special issue: IJCNN 2005
Year:
2005

Citing 10
Cited 6

Synchronization of pulse-coupled biological oscillators

SIAM Journal on Applied Mathematics
Synchrony and desynchrony in integrate-and-fire oscillators

Neural Computation
The bifurcating neuron network 1

Neural Networks
A dynamically coupled neural oscillator network for image segmentation

Neural Networks
The bifurcating neuron network 2: an analog associative memory

Neural Networks
Analysis of Composite Dynamics of Two Bifurcating Neurons

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory

IEEE Transactions on Neural Networks
Synchronization phenomena in pulse-coupled networks driven by spike-train inputs

IEEE Transactions on Neural Networks
Synchronization rates in classes of relaxation oscillators

IEEE Transactions on Neural Networks
Which model to use for cortical spiking neurons?

IEEE Transactions on Neural Networks

Basic Bifurcation of Artificial Spiking Neurons with Triangular Base Signal

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Artificial Spiking Neurons and Analog-to-Digital-to-Analog Conversion

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
A Simple Spiking Neuron with Periodic Input: Basic Bifurcation and Encoding Function

ICONIP '09 Proceedings of the 16th International Conference on Neural Information Processing: Part II
Bifurcation and windows in a simple piecewise linear chaotic spiking neuron

ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Synchronization via multiplex spike-trains in digital pulse coupled networks

ICONIP'06 Proceedings of the 13th international conference on Neural information processing - Volume Part III
Bifurcating neurons with filtered base signals

ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part I

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.