The Maximum Period Realized in 1-Dimensional Uniform Neural Networks with a Refractory Period

Ryuuzo SHINGAI

The Maximum Period Realized in 1-Dimensional Uniform Neural Networks with a Refractory Period

Ryuuzo SHINGAI

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The upper bound of periods realized in a system of 1-dimensional uniform neural networks with refractory period is analyzed for each transition function. As for one function whose refractory period is 2, the period is not to be bounded. For the other functions with the refractory period R the upper bound equals 1 or R1. They contrast with the fact that the period is bounded by 4 for every case without refractory period. The results are obtained by constructing directly the periodic states of every cell from a boundary cell to the other one after another.

Publication: IEICE TRANSACTIONS on transactions Vol.E61-E No.10 pp.804-808

Publication Date: 1978/10/25

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Type of Manuscript: PAPER

Category: Automaton

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Ryuuzo SHINGAI

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Ryuuzo SHINGAI, "The Maximum Period Realized in 1-Dimensional Uniform Neural Networks with a Refractory Period" in IEICE TRANSACTIONS on transactions, vol. E61-E, no. 10, pp. 804-808, October 1978, doi: .
Abstract: The upper bound of periods realized in a system of 1-dimensional uniform neural networks with refractory period is analyzed for each transition function. As for one function whose refractory period is 2, the period is not to be bounded. For the other functions with the refractory period R the upper bound equals 1 or R1. They contrast with the fact that the period is bounded by 4 for every case without refractory period. The results are obtained by constructing directly the periodic states of every cell from a boundary cell to the other one after another.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_10_804/_p

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@ARTICLE{e61-e_10_804,
author={Ryuuzo SHINGAI, },
journal={IEICE TRANSACTIONS on transactions},
title={The Maximum Period Realized in 1-Dimensional Uniform Neural Networks with a Refractory Period},
year={1978},
volume={E61-E},
number={10},
pages={804-808},
abstract={The upper bound of periods realized in a system of 1-dimensional uniform neural networks with refractory period is analyzed for each transition function. As for one function whose refractory period is 2, the period is not to be bounded. For the other functions with the refractory period R the upper bound equals 1 or R1. They contrast with the fact that the period is bounded by 4 for every case without refractory period. The results are obtained by constructing directly the periodic states of every cell from a boundary cell to the other one after another.},
keywords={},
doi={},
ISSN={},
month={October},}

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TY - JOUR
TI - The Maximum Period Realized in 1-Dimensional Uniform Neural Networks with a Refractory Period
T2 - IEICE TRANSACTIONS on transactions
SP - 804
EP - 808
AU - Ryuuzo SHINGAI
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 10
JA - IEICE TRANSACTIONS on transactions
Y1 - October 1978
AB - The upper bound of periods realized in a system of 1-dimensional uniform neural networks with refractory period is analyzed for each transition function. As for one function whose refractory period is 2, the period is not to be bounded. For the other functions with the refractory period R the upper bound equals 1 or R1. They contrast with the fact that the period is bounded by 4 for every case without refractory period. The results are obtained by constructing directly the periodic states of every cell from a boundary cell to the other one after another.
ER -