| ○種別 (必須): | □ | 学術論文 (審査論文)
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| ○言語 (必須): | □ | 英語
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| ○招待 (推奨): |
| ○審査 (推奨): | □ | Peer Review
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| ○カテゴリ (推奨): | □ | 研究
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| ○共著種別 (推奨): | □ | 学内共著 (徳島大学内研究者との共同研究 (学外研究者を含まない))
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| ○学究種別 (推奨): | □ | 博士後期課程学生による研究報告
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| ○組織 (推奨): | 1. | 徳島大学.情報センター (2010年7月1日〜)
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| ○著者 (必須): | 1. | (英) Amoh, Seiya (日) 天羽 晟矢 (読) あもう せいや
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| ○貢献度 (任意): |
| ○学籍番号 (推奨): | □ | ****
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| 2. | 上田 哲史 ([徳島大学.情報センター]/[徳島大学.理工学部.理工学科.知能情報コース.情報工学講座])
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| 3. | 川上 博
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| ○題名 (必須): | □ | (英) Transient Responses to Relaxation Oscillations in Multivibrators (日)
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| ○副題 (任意): |
| ○要約 (任意): | □ | (英) The multivibrator is an electronic circuit that has three oscillation states: astable, monostable, and bistable; these circuits typically contain opamps. These states are often modeled using hybrid systems, which contain characteristics of both continuous and discrete time. While an ideal opamp possesses both continuous and discrete characteristics, actual opamps exhibit continuous properties, which necessitate indepth modeling. The relaxation oscillations produced by the multivibrator, characterized by periodic, rapid state changes, are typically modeled by considering slow fast dynamical systems. In these systems, the phenomenon whereby the amplitude of the signal changes rapidly is referred to as a ``canard explosion''. By considering this phenomenon, it is possible to understand the process of relaxation oscillations in the multivibrator. In this work, we model the multivibrator by considering a slow fast dynamical system and observe canard explosions through numerical experiments. This study indicates that the oscillatory changes in the multivibrator are continuous, which explains the onset of relaxation oscillations. Additionally, circuit experiments are conducted using affordable opamps; in this experimental work, canard explosions are observed. (日) The multivibrator is an electronic circuit that has three oscillation states: astable, monostable, and bistable; these circuits typically contain opamps. These states are often modeled using hybrid systems, which contain characteristics of both continuous and discrete time. While an ideal opamp possesses both continuous and discrete characteristics, actual opamps exhibit continuous properties, which necessitate in-depth modeling. The relaxation oscillations produced by the multivibrator, characterized by periodic, rapid state changes, are typically modeled by considering slow–fast dynamical systems. In these systems, the phenomenon whereby the amplitude of the signal changes rapidly is referred to as a ``canard explosion''. By considering this phenomenon, it is possible to understand the process of relaxation oscillations in the multivibrator. In this work, we model the multivibrator by considering a slow-fast dynamical system and observe canard explosions through numerical experiments. This study indicates that the oscillatory changes in the multivibrator are continuous, which explains the onset of relaxation oscillations. Additionally, circuit experiments are conducted using affordable opamps; in this experimental work, canard explosions are observed.
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| ○キーワード (推奨): | 1. | (英) bifurcation analysis (日) (読)
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| 2. | (英) canard (日) (読)
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| 3. | (英) multivibrator (日) (読)
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| 4. | 特異摂動 (singular perturbation)
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| 5. | (英) slow-fast dynamical systems (日) (読)
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| ○発行所 (推奨): | □ | IEEE
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| ○誌名 (必須): | □ | IEEE Access ([IEEE])
(eISSN: 2169-3536)
| ○ISSN (任意): | □ | 2169-3536
ISSN: 2169-3536
(eISSN: 2169-3536) Title: IEEE access : practical innovations, open solutionsTitle(ISO): IEEE AccessPublisher: IEEE (NLM Catalog)
(IEEE)
(Scopus)
(CrossRef)
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| ○巻 (必須): | □ | 12
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| ○号 (必須): | □ |
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| ○頁 (必須): | □ | 471 482
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| ○都市 (任意): |
| ○年月日 (必須): | □ | 西暦 2024年 1月 3日 (令和 6年 1月 3日)
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| ○URL (任意): | □ | http://repo.lib.tokushima-u.ac.jp/118852
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| ○DOI (任意): | □ | 10.1109/ACCESS.2023.3345840 (→Scopusで検索)
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| ○PMID (任意): |
| ○CRID (任意): | □ | 1360865814744380544
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| ○WOS (任意): |
| ○Scopus (任意): | □ | 2-s2.0-85181564229
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| ○評価値 (任意): |
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| ○指導教員 (推奨): | 1. | 上田 哲史 ([徳島大学.情報センター]/[徳島大学.理工学部.理工学科.知能情報コース.情報工学講座])
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