Quantized Dynamics from an Integrate-and-Fire Circuit with Pulse-Train Stimulation
Summary :
We present a novel kind of integrate-and-fire circuit (IFC) with two periodic inputs: a pulse-train stimulation input and a base input. We clarify that the system state is quantized by the pulse-train stimulation input. Then the system dynamics is described by a return map with quantized state (Qmap). By changing the shape of the base input, various Qmaps can be obtained. The Qmap exhibits co-existence state of various super-stable periodic orbits, and the IFC outputs one of corresponding super-stable periodic pulse-trains depending on the initial state. For a typical case, we clarify the number of co-existing periodic pulse-trains theoretically for the stimulation frequencies. Constructing a simple test circuit, typical phenomena can be verified in the laboratory.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.10 pp.2547-2552
- Publication Date
- 2001/10/01
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Yoshinobu KAWASAKI, Hiroyuki TORIKAI, Toshimichi SAITO, "Quantized Dynamics from an Integrate-and-Fire Circuit with Pulse-Train Stimulation" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 10, pp. 2547-2552, October 2001, doi: .
Abstract: We present a novel kind of integrate-and-fire circuit (IFC) with two periodic inputs: a pulse-train stimulation input and a base input. We clarify that the system state is quantized by the pulse-train stimulation input. Then the system dynamics is described by a return map with quantized state (Qmap). By changing the shape of the base input, various Qmaps can be obtained. The Qmap exhibits co-existence state of various super-stable periodic orbits, and the IFC outputs one of corresponding super-stable periodic pulse-trains depending on the initial state. For a typical case, we clarify the number of co-existing periodic pulse-trains theoretically for the stimulation frequencies. Constructing a simple test circuit, typical phenomena can be verified in the laboratory.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_10_2547/_p
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@ARTICLE{e84-a_10_2547,
author={Yoshinobu KAWASAKI, Hiroyuki TORIKAI, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Quantized Dynamics from an Integrate-and-Fire Circuit with Pulse-Train Stimulation},
year={2001},
volume={E84-A},
number={10},
pages={2547-2552},
abstract={We present a novel kind of integrate-and-fire circuit (IFC) with two periodic inputs: a pulse-train stimulation input and a base input. We clarify that the system state is quantized by the pulse-train stimulation input. Then the system dynamics is described by a return map with quantized state (Qmap). By changing the shape of the base input, various Qmaps can be obtained. The Qmap exhibits co-existence state of various super-stable periodic orbits, and the IFC outputs one of corresponding super-stable periodic pulse-trains depending on the initial state. For a typical case, we clarify the number of co-existing periodic pulse-trains theoretically for the stimulation frequencies. Constructing a simple test circuit, typical phenomena can be verified in the laboratory.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Quantized Dynamics from an Integrate-and-Fire Circuit with Pulse-Train Stimulation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2547
EP - 2552
AU - Yoshinobu KAWASAKI
AU - Hiroyuki TORIKAI
AU - Toshimichi SAITO
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2001
AB - We present a novel kind of integrate-and-fire circuit (IFC) with two periodic inputs: a pulse-train stimulation input and a base input. We clarify that the system state is quantized by the pulse-train stimulation input. Then the system dynamics is described by a return map with quantized state (Qmap). By changing the shape of the base input, various Qmaps can be obtained. The Qmap exhibits co-existence state of various super-stable periodic orbits, and the IFC outputs one of corresponding super-stable periodic pulse-trains depending on the initial state. For a typical case, we clarify the number of co-existing periodic pulse-trains theoretically for the stimulation frequencies. Constructing a simple test circuit, typical phenomena can be verified in the laboratory.
ER -
English
