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?????????? ? 710 ? 1989 ? 145-163 145 Chaotic Neural Networks K. Aihara Department of Electronic Engineering, might 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 kinetics with abundant spatio-temporal higgledy-piggledy patterns implying applicability to neuro- figure lighten also simplicity enough to be good employ in an electronic curcuit. 1 INTRODUCTION $-$ It is nowadays intimately recognized that disorganised phenomena are ubiquitous in numerous ?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 point of view of biol ogical information $processing^{6,8- 10)}$ . In site to finish off signi?cance of the chaos in neural information processing, it is an cardinal address 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 represent the network dynamics. CHAOTIC DYNAMICS IN REAL plaque MEMBRANES 2 It has been clari?ed by experimentation with squid lusus naturae axons that real nerve m embranes in the resting evince respond to ! input 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 moral of the chaotic reception in squid giant axons. The resolution 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: BestEssayCheap.com

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