CHAOTIC NEURAL NETWORKS

被引:1009
作者
AIHARA, K [1 ]
TAKABE, T [1 ]
TOYODA, M [1 ]
机构
[1] TOKYO DENKI UNIV,FAC ENGN,DEPT ELECTR ENGN,CHIYODA KU,TOKYO 101,JAPAN
关键词
D O I
10.1016/0375-9601(90)90136-C
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A model of a single neuron with chaotic dynamics is proposed by considering the following properties of biological neurons: (1) graded responses, (2) relative refractoriness and (3) spatio-temporal summation of inputs. The model includes some conventional models of a neuron as its special cases; namely, chaotic dynamics is introduced as a natural extension of the former models. Chaotic solutions of both the single chaotic neuron and the chaotic neural network composed of such neurons are numerically demonstrated. © 1990.
引用
收藏
页码:333 / 340
页数:8
相关论文
共 69 条
[1]   PERIODIC AND NON-PERIODIC RESPONSES OF A PERIODICALLY FORCED HODGKIN-HUXLEY OSCILLATOR [J].
AIHARA, K ;
MATSUMOTO, G ;
IKEGAYA, Y .
JOURNAL OF THEORETICAL BIOLOGY, 1984, 109 (02) :249-269
[2]   AN ALTERNATING PERIODIC CHAOTIC SEQUENCE OBSERVED IN NEURAL OSCILLATORS [J].
AIHARA, K ;
MATSUMOTO, G ;
ICHIKAWA, M .
PHYSICS LETTERS A, 1985, 111 (05) :251-255
[3]  
Aihara K, 1986, CHAOS, P257, DOI [DOI 10.1515/9781400858156.257, 10.1515/9781400858156.257]
[4]   STATISTICAL NEURODYNAMICS OF ASSOCIATIVE MEMORY [J].
AMARI, S ;
MAGINU, K .
NEURAL NETWORKS, 1988, 1 (01) :63-73
[5]   CELLULAR AUTOMATA AND COUPLED CHAOS DEVELOPED IN A LATTICE CHAIN OF N EQUIVALENT SWITCHING ELEMENTS [J].
AOKI, K ;
MUGIBAYASHI, N .
PHYSICS LETTERS A, 1986, 114 (8-9) :425-429
[6]   BIFURCATION ROUTES TO CHAOS IN THE FIRING WAVE INSTABILITY - A MODELING OF THE CURRENT FILAMENTS IN A SEMICONDUCTOR [J].
AOKI, K ;
IKEZAWA, O ;
YAMAMOTO, K .
PHYSICS LETTERS A, 1984, 106 (08) :343-349
[7]   LOW-FREQUENCY PHENOMENA IN DYNAMICAL-SYSTEMS WITH MANY ATTRACTORS [J].
ARECCHI, FT ;
BADII, R ;
POLITI, A .
PHYSICAL REVIEW A, 1984, 29 (02) :1006-1009
[8]   ONE-DIMENSIONAL ISING-MODEL AND THE COMPLETE DEVILS STAIRCASE [J].
BAK, P ;
BRUINSMA, R .
PHYSICAL REVIEW LETTERS, 1982, 49 (04) :249-251
[10]   SELF-SIMILARITY IN PERIODICALLY FORCED OSCILLATORS [J].
BELAIR, J ;
GLASS, L .
PHYSICS LETTERS A, 1983, 96 (03) :113-116