Basic Dynamics of Simple Delay-Coupled Bifurcating Neurons
Summary :
This letter studies a pulse-coupled system constructed by delayed cross-switching between two bifurcating neurons. The system can exhibit an interesting bifurcation: the delay-coupling can change chaotic behavior of single neurons into stable periodic behavior. Using the 1D phase map, it is clarified that the phenomenon is caused by the tangent bifurcation for the delay parameter. Presenting a simple test circuit, the phenomenon can be confirmed experimentally.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.3 pp.1006-1009
- Publication Date
- 2011/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E94.A.1006
- Type of Manuscript
- LETTER
- Category
- Nonlinear Problems
Authors
Keyword
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Kozo HISAMATSU, Toshimichi SAITO, "Basic Dynamics of Simple Delay-Coupled Bifurcating Neurons" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 3, pp. 1006-1009, March 2011, doi: 10.1587/transfun.E94.A.1006.
Abstract: This letter studies a pulse-coupled system constructed by delayed cross-switching between two bifurcating neurons. The system can exhibit an interesting bifurcation: the delay-coupling can change chaotic behavior of single neurons into stable periodic behavior. Using the 1D phase map, it is clarified that the phenomenon is caused by the tangent bifurcation for the delay parameter. Presenting a simple test circuit, the phenomenon can be confirmed experimentally.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1006/_p
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@ARTICLE{e94-a_3_1006,
author={Kozo HISAMATSU, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Basic Dynamics of Simple Delay-Coupled Bifurcating Neurons},
year={2011},
volume={E94-A},
number={3},
pages={1006-1009},
abstract={This letter studies a pulse-coupled system constructed by delayed cross-switching between two bifurcating neurons. The system can exhibit an interesting bifurcation: the delay-coupling can change chaotic behavior of single neurons into stable periodic behavior. Using the 1D phase map, it is clarified that the phenomenon is caused by the tangent bifurcation for the delay parameter. Presenting a simple test circuit, the phenomenon can be confirmed experimentally.},
keywords={},
doi={10.1587/transfun.E94.A.1006},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Basic Dynamics of Simple Delay-Coupled Bifurcating Neurons
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1006
EP - 1009
AU - Kozo HISAMATSU
AU - Toshimichi SAITO
PY - 2011
DO - 10.1587/transfun.E94.A.1006
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2011
AB - This letter studies a pulse-coupled system constructed by delayed cross-switching between two bifurcating neurons. The system can exhibit an interesting bifurcation: the delay-coupling can change chaotic behavior of single neurons into stable periodic behavior. Using the 1D phase map, it is clarified that the phenomenon is caused by the tangent bifurcation for the delay parameter. Presenting a simple test circuit, the phenomenon can be confirmed experimentally.
ER -
English
