Transient Responses to Relaxation Oscillations in Multivibrators

DOI オープンアクセス

書誌事項

タイトル
Transient Responses to Relaxation Oscillations in Multivibrators

説明

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.

収録刊行物

  • IEEE Access

    IEEE Access 12 471-482, 2024

    Institute of Electrical and Electronics Engineers (IEEE)

関連プロジェクト

もっと見る

詳細情報 詳細情報について

  • CRID
    1010865643844084992
  • DOI
    10.1109/access.2023.3345840
  • ISSN
    21693536
  • 資料種別
    journal article
  • データソース種別
    • KAKEN
    • OpenAIRE

問題の指摘

ページトップへ