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著作: 天羽 晟矢/[上田 哲史]/[川上 博]/Transient Responses to Relaxation Oscillations in Multivibrators/[IEEE Access]/[上田 哲史]

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EID
404386
EOID
1126866
Map
0
LastModified
2025年2月9日(日) 08:47:41
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上田 哲史
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種別 必須 学術論文(審査論文)
言語 必須 英語
招待 推奨
審査 推奨 Peer Review
カテゴリ 推奨 研究
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))
学究種別 推奨 博士後期課程学生による研究報告
組織 推奨
  1. 徳島大学.情報センター(2010年7月1日〜)
著者 必須
  1. (英) Amoh, Seiya / (日) 天羽 晟矢 / (読) あもう せいや
    役割 任意
    貢献度 任意
    学籍番号 推奨 ****
  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])
    役割 任意
    貢献度 任意
    学籍番号 推奨
  3. 川上 博
    役割 任意
    貢献度 任意
    学籍番号 推奨
題名 必須

(英) Transient Responses to Relaxation Oscillations in Multivibrators

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.

キーワード 推奨
  1. (英) bifurcation analysis
  2. (英) canard
  3. (英) multivibrator
  4. 特異摂動(singular perturbation)
  5. (英) slow-fast dynamical systems
発行所 推奨 IEEE
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 solutions
Title(ISO): IEEE Access
Publisher: IEEE
 (NLM Catalog  (IEEE  (Scopus  (CrossRef (Scopus information is found. [need login])
必須 12
必須 ---
必須 471 482
都市 任意
年月日 必須 2024年 1月 3日
URL 任意 http://repo.lib.tokushima-u.ac.jp/118852
DOI 任意 10.1109/ACCESS.2023.3345840    (→Scopusで検索)
PMID 任意
CRID 任意 1360865814744380544
WOS 任意
Scopus 任意 2-s2.0-85181564229
評価値 任意
被引用数 任意
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])
備考 任意