Synchronization and Window Map from Pulse-Coupled Relaxation Oscillators
Summary :
We present mutually pulse-coupled two relaxation oscillators having refractoriness. The system can be implemented by a simple electrical circuit, and various periodic synchronization phenomena can be observed experimentally. The phenomena are characterized by a ratio of phase locking. Using a return map having a trapping window, the ratio can be analyzed in a parameter subspace rigorously. We then clarify effects of the refractoriness on the pulse coding ability of the system.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.9 pp.2426-2431
- Publication Date
- 2004/09/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Masanao SHIMAZAKI, Hiroyuki TORIKAI, Toshimichi SAITO, "Synchronization and Window Map from Pulse-Coupled Relaxation Oscillators" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 9, pp. 2426-2431, September 2004, doi: .
Abstract: We present mutually pulse-coupled two relaxation oscillators having refractoriness. The system can be implemented by a simple electrical circuit, and various periodic synchronization phenomena can be observed experimentally. The phenomena are characterized by a ratio of phase locking. Using a return map having a trapping window, the ratio can be analyzed in a parameter subspace rigorously. We then clarify effects of the refractoriness on the pulse coding ability of the system.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_9_2426/_p
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@ARTICLE{e87-a_9_2426,
author={Masanao SHIMAZAKI, Hiroyuki TORIKAI, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Synchronization and Window Map from Pulse-Coupled Relaxation Oscillators},
year={2004},
volume={E87-A},
number={9},
pages={2426-2431},
abstract={We present mutually pulse-coupled two relaxation oscillators having refractoriness. The system can be implemented by a simple electrical circuit, and various periodic synchronization phenomena can be observed experimentally. The phenomena are characterized by a ratio of phase locking. Using a return map having a trapping window, the ratio can be analyzed in a parameter subspace rigorously. We then clarify effects of the refractoriness on the pulse coding ability of the system.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Synchronization and Window Map from Pulse-Coupled Relaxation Oscillators
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2426
EP - 2431
AU - Masanao SHIMAZAKI
AU - Hiroyuki TORIKAI
AU - Toshimichi SAITO
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2004
AB - We present mutually pulse-coupled two relaxation oscillators having refractoriness. The system can be implemented by a simple electrical circuit, and various periodic synchronization phenomena can be observed experimentally. The phenomena are characterized by a ratio of phase locking. Using a return map having a trapping window, the ratio can be analyzed in a parameter subspace rigorously. We then clarify effects of the refractoriness on the pulse coding ability of the system.
ER -
English
