On a Hysteresis Oscillator Including Periodic Thresholds
Summary :
In this article, we consider a hysteresis oscillator which includes periodic thresholds. This oscillator relates to a model of human's sleep-wake cycles. Deriving a one dimensional return map rigorously, we can clarify existence regions of various periodic attractors in some parameter subspace. Also, we clarify co-existence regions of periodic attractors and existence regions of quasi-periodic attractors. Some of theoretical results are confirmed by laboratory measurements.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.12 pp.2102-2107
- Publication Date
- 1993/12/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Circuits and Systems
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Ken'ichi KOHARI, Toshimichi SAITO, Hiroshi KAWAKAMI, "On a Hysteresis Oscillator Including Periodic Thresholds" in IEICE TRANSACTIONS on Fundamentals,
vol. E76-A, no. 12, pp. 2102-2107, December 1993, doi: .
Abstract: In this article, we consider a hysteresis oscillator which includes periodic thresholds. This oscillator relates to a model of human's sleep-wake cycles. Deriving a one dimensional return map rigorously, we can clarify existence regions of various periodic attractors in some parameter subspace. Also, we clarify co-existence regions of periodic attractors and existence regions of quasi-periodic attractors. Some of theoretical results are confirmed by laboratory measurements.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_12_2102/_p
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@ARTICLE{e76-a_12_2102,
author={Ken'ichi KOHARI, Toshimichi SAITO, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On a Hysteresis Oscillator Including Periodic Thresholds},
year={1993},
volume={E76-A},
number={12},
pages={2102-2107},
abstract={In this article, we consider a hysteresis oscillator which includes periodic thresholds. This oscillator relates to a model of human's sleep-wake cycles. Deriving a one dimensional return map rigorously, we can clarify existence regions of various periodic attractors in some parameter subspace. Also, we clarify co-existence regions of periodic attractors and existence regions of quasi-periodic attractors. Some of theoretical results are confirmed by laboratory measurements.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - On a Hysteresis Oscillator Including Periodic Thresholds
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2102
EP - 2107
AU - Ken'ichi KOHARI
AU - Toshimichi SAITO
AU - Hiroshi KAWAKAMI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 1993
AB - In this article, we consider a hysteresis oscillator which includes periodic thresholds. This oscillator relates to a model of human's sleep-wake cycles. Deriving a one dimensional return map rigorously, we can clarify existence regions of various periodic attractors in some parameter subspace. Also, we clarify co-existence regions of periodic attractors and existence regions of quasi-periodic attractors. Some of theoretical results are confirmed by laboratory measurements.
ER -
English
