IEICE TRANSACTIONS on transactions
Existence and Control of Rhythmic Activities in Reciprocal Inhibition Neural Networks
Summary :
This paper gives an analytical method to determine the existence of the long period mode which is the most typical rhythmic activity in reciprocal inhibition networks. The network is assumed to have a considerable odd number of neurons in a ring structure of a linear array. In the long period mode, each cell has the active and the quiescent phases. A number of firings are seen at the constant interval in the active phase, while the firings are inhibited in the quiescent phase. It is shown that there exist many firing patterns in this mode, and that the period length of the rhythmic activities is different depending on the number of firings in the active phases. The upper bound of the period length increases with the increase of the number of cells. Since various firing patterns are possible to occur under identical input and structure parameters, occurrence of each firing pattern of the long period mode has to be determined by a suitable selection of initial conditions of the network. Relations between the firing patterns and the initial conditions are studied in terms of phase transition delay time.
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- IEICE TRANSACTIONS on transactions Vol.E62-E No.11 pp.768-774
- Publication Date
- 1979/11/25
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- PAPER
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- Miscellaneous
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Hirofumi NAGASHINO, Hiroshi TAMURA, Tomiyuki USHITA, "Existence and Control of Rhythmic Activities in Reciprocal Inhibition Neural Networks" in IEICE TRANSACTIONS on transactions,
vol. E62-E, no. 11, pp. 768-774, November 1979, doi: .
Abstract: This paper gives an analytical method to determine the existence of the long period mode which is the most typical rhythmic activity in reciprocal inhibition networks. The network is assumed to have a considerable odd number of neurons in a ring structure of a linear array. In the long period mode, each cell has the active and the quiescent phases. A number of firings are seen at the constant interval in the active phase, while the firings are inhibited in the quiescent phase. It is shown that there exist many firing patterns in this mode, and that the period length of the rhythmic activities is different depending on the number of firings in the active phases. The upper bound of the period length increases with the increase of the number of cells. Since various firing patterns are possible to occur under identical input and structure parameters, occurrence of each firing pattern of the long period mode has to be determined by a suitable selection of initial conditions of the network. Relations between the firing patterns and the initial conditions are studied in terms of phase transition delay time.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e62-e_11_768/_p
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@ARTICLE{e62-e_11_768,
author={Hirofumi NAGASHINO, Hiroshi TAMURA, Tomiyuki USHITA, },
journal={IEICE TRANSACTIONS on transactions},
title={Existence and Control of Rhythmic Activities in Reciprocal Inhibition Neural Networks},
year={1979},
volume={E62-E},
number={11},
pages={768-774},
abstract={This paper gives an analytical method to determine the existence of the long period mode which is the most typical rhythmic activity in reciprocal inhibition networks. The network is assumed to have a considerable odd number of neurons in a ring structure of a linear array. In the long period mode, each cell has the active and the quiescent phases. A number of firings are seen at the constant interval in the active phase, while the firings are inhibited in the quiescent phase. It is shown that there exist many firing patterns in this mode, and that the period length of the rhythmic activities is different depending on the number of firings in the active phases. The upper bound of the period length increases with the increase of the number of cells. Since various firing patterns are possible to occur under identical input and structure parameters, occurrence of each firing pattern of the long period mode has to be determined by a suitable selection of initial conditions of the network. Relations between the firing patterns and the initial conditions are studied in terms of phase transition delay time.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Existence and Control of Rhythmic Activities in Reciprocal Inhibition Neural Networks
T2 - IEICE TRANSACTIONS on transactions
SP - 768
EP - 774
AU - Hirofumi NAGASHINO
AU - Hiroshi TAMURA
AU - Tomiyuki USHITA
PY - 1979
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E62-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1979
AB - This paper gives an analytical method to determine the existence of the long period mode which is the most typical rhythmic activity in reciprocal inhibition networks. The network is assumed to have a considerable odd number of neurons in a ring structure of a linear array. In the long period mode, each cell has the active and the quiescent phases. A number of firings are seen at the constant interval in the active phase, while the firings are inhibited in the quiescent phase. It is shown that there exist many firing patterns in this mode, and that the period length of the rhythmic activities is different depending on the number of firings in the active phases. The upper bound of the period length increases with the increase of the number of cells. Since various firing patterns are possible to occur under identical input and structure parameters, occurrence of each firing pattern of the long period mode has to be determined by a suitable selection of initial conditions of the network. Relations between the firing patterns and the initial conditions are studied in terms of phase transition delay time.
ER -
English
