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Dynamical systems and operators associated with a single neuronic equation. (English) Zbl 0272.92002

MSC:
92B05 General biology and biomathematics
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[1] Aiello, A.; Burattini, E.; Caianiello, E.R., Synthesis of reverberating neural networks, Kybernetik, 7, 191-195, (1970)
[2] Amari, S., Characteristics of randomly connected threshold-element networks and networks and network systems, Proc. IEEE, 59, 35-47, (1971)
[3] Amari, S., Learning of patterns by self-organizing nets of threshold element, Document EC 71-42, (1971-11), (in Japanese)
[4] Caianiello, E.R., Outline of a thought-processes and thinking machines, J. theoret. biol., 2, 204-235, (1961)
[5] Caianiello, E.R., Decision equations and reverberations, Kybernetik, 3, 98-100, (1966)
[6] Caianiello, E.R., Brain models, natural languages and robots, Japan industrial technological association symposium on information processing systems, 1-26, (March, 1972), Tokyo
[7] Caianiello, E.R.; De Luca, A.; Ricciardi, L.M., Reverberations and control of neural networks, Kybernetik, 4, 10-18, (1967)
[8] De Luca, A., On some dynamical properties of linear and affine networks, Kybernetik, 8, 123-124, (1971) · Zbl 0225.94019
[9] De Luca, A., On some representations of Boolean functions. application to the theory of switching elements nets, Kybernetik, 9, 1-10, (1971) · Zbl 0221.94062
[10] Ishihara, T., Local reverberations in the nervous system and conditional reflex, Math. biosci., 12, 23-31, (1971) · Zbl 0234.92011
[11] Nagumo, J.; Sato, S., On a response characteristic of a mathematical neuron model, Kybernetik, 10, 155-164, (1972) · Zbl 0235.92001
[12] Suzuki, R.; Katsuno, I.; Matano, K., Dynamics of “neuron ring”, computer simulation of nervous system of starfish, Kybernetik, 8, 39-45, (1971)
[13] Kitagawa, T., Operator representations of linear threshold functions associated with a single neuronic equation, Research report, no. 3-, (September 1972), Research Institute of the Fundamental Information Science
[14] Yamaguchi, M., Characterization of operators and their reverberation cycles associated with a single neural equation, Research report, no. 31, (June 1972), Research Institute of the Fundamental Information Science
[15] Yamaguchi, M., Some contribution to dynamical features on biomathematical systems, Thesis, (Septembe 1972), Faculty of Science, Kyushu University
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