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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 mingled kinetics with abundant spatio-temporal higgledy-piggledy patterns implying applicability to neuro- figure pitch also simplicity enough to be good use in an electronic curcuit. 1 INTRODUCTION $-$ It is nowadays swell recognized that pell-mell phenomena are ubiquitous in many another(prenominal) ?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 bio logical information $processing^{6,8- 10)}$ . In site to explicate signi?cance of the chaos in neural information processing, it is an cardinal undertake 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 plant the network dynamics. CHAOTIC DYNAMICS IN REAL governance MEMBRANES 2 It has been clari?ed by experimentation with squid colossus axons that real nerve membranes in the resting evince respond to rousing o f periodic pulses not only syn- chronousl! y but also chaotically according to the values of amplitude and period of the bear upon pulses5). Fig. l(a) is an illustration of the chaotic reception in squid giant axons. The reaction 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: OrderEssay.net

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