Description

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? 710 ? 1989 ? 145-163

145

Chaotic Neural Networks
K. Aihara
Department of Electronic Engineering,
Faculty of Engineering, capital of Japan Denki University,
2-2 Nishiki-cho, Kanda, Chiyoda, Tokyo 101, Japan

Abstract
A neural cyberspace model tranquil of neurons with jumbled dy-

namics is proposed by considering some properties of real neurons.
The model possesses not only complex dynamics with abundant
spatio-temporal higgledy-piggledy patterns implying applicability to neuro-

figure save also simplicity enough to be good implemented in
an electronic curcuit.

1

INTRODUCTION

$-$

It is nowadays well recognized that chaotic phenomena are ubiquitous in many
?elds1).

It is also reported in the ?eld of neuroscience that there exists chaotic dy-

namics not only in neurons

but also in neural networks and $brains^{6- 7)}$ . Moreover,

possible roles of loony bin are discussed from the viewpoint of biological information
$processing^{6,8- 10)}$

.

In site to clarify signi?cance of the chaos in neural information processing,
it is an cardinal approach to analyse dynamical characteristics of arti?cial neural networks composed of neurons with chaotic dynamics theoretically.



We have
proposed a simple mathematical mode1

of chaotic neurons from this view-

$l$

point. In this paper, we review our framework of chaotic neural

networks12)

and

demonstrate the network dynamics.

CHAOTIC DYNAMICS IN REAL NERVE
MEMBRANES

2

It has been clari?ed by experimentation with squid giant axons that real nerve membranes in the resting evince respond to stimulation of periodic pulses not only syn-

chronously but also chaotically according to the values of amplitude and period
of the bear upon pulses5). Fig. l(a) is an example of the chaotic reception in
squid giant axons. The response characteristics of squid giant axons can be de-

scribed quantitatively with the Hodgkin-Huxley $equations^{13)}$ and qualitatively with...If you want to get a full essay, order it on our website: Ordercustompaper.com



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