Master-Slave Synchronization of Pulse-Coupled Bifurcating Neurons
Summary :
We present master-slave pulse-coupled bifurcating neurons having refractoriness. The system can exhibit various phenomena, e. g. , periodic and chaotic in-phase synchronizations, and periodic out-of-phase synchronization. We clarify local stabilities of the phenomena and a sufficient condition for the in-phase synchronization. It is suggested that bifurcations of the synchronization phenomena may relate to detection of a master parameter, and the refractoriness may relate to control of the detection accuracy. Using a simple test circuit, typical phenomena are verified in the laboratory.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.3 pp.740-747
- Publication Date
- 2004/03/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Neural Networks and Bioengineering
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Hiroyuki TORIKAI, Masanao SHIMAZAKI, Toshimichi SAITO, "Master-Slave Synchronization of Pulse-Coupled Bifurcating Neurons" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 3, pp. 740-747, March 2004, doi: .
Abstract: We present master-slave pulse-coupled bifurcating neurons having refractoriness. The system can exhibit various phenomena, e. g. , periodic and chaotic in-phase synchronizations, and periodic out-of-phase synchronization. We clarify local stabilities of the phenomena and a sufficient condition for the in-phase synchronization. It is suggested that bifurcations of the synchronization phenomena may relate to detection of a master parameter, and the refractoriness may relate to control of the detection accuracy. Using a simple test circuit, typical phenomena are verified in the laboratory.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_3_740/_p
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@ARTICLE{e87-a_3_740,
author={Hiroyuki TORIKAI, Masanao SHIMAZAKI, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Master-Slave Synchronization of Pulse-Coupled Bifurcating Neurons},
year={2004},
volume={E87-A},
number={3},
pages={740-747},
abstract={We present master-slave pulse-coupled bifurcating neurons having refractoriness. The system can exhibit various phenomena, e. g. , periodic and chaotic in-phase synchronizations, and periodic out-of-phase synchronization. We clarify local stabilities of the phenomena and a sufficient condition for the in-phase synchronization. It is suggested that bifurcations of the synchronization phenomena may relate to detection of a master parameter, and the refractoriness may relate to control of the detection accuracy. Using a simple test circuit, typical phenomena are verified in the laboratory.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - Master-Slave Synchronization of Pulse-Coupled Bifurcating Neurons
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 740
EP - 747
AU - Hiroyuki TORIKAI
AU - Masanao SHIMAZAKI
AU - Toshimichi SAITO
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2004
AB - We present master-slave pulse-coupled bifurcating neurons having refractoriness. The system can exhibit various phenomena, e. g. , periodic and chaotic in-phase synchronizations, and periodic out-of-phase synchronization. We clarify local stabilities of the phenomena and a sufficient condition for the in-phase synchronization. It is suggested that bifurcations of the synchronization phenomena may relate to detection of a master parameter, and the refractoriness may relate to control of the detection accuracy. Using a simple test circuit, typical phenomena are verified in the laboratory.
ER -
English
