J-1-9-135 Theoretical Analysis of Synchronization in Self-Excited Oscillators Induced by Strong Periodic Forcing

  • KUREBAYASHI Wataru
    Department of Mechanical and Environmental Informatics, Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • SHIRASAKA Sho
    東京工業大学大学院情報理工学研究科情報環境学専攻
  • NAKAO Hiroya
    東京工業大学大学院情報理工学研究科情報環境学専攻

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Other Title
  • J-1-9-135 自励振動子の強い周期外力による同期現象に関する理論的な解析(J-1-9:自励振動1(同期現象・自己同期),領域1:解析・設計の高度化と新展開,総合テーマ「海を越え,国を越え,世代を超えて!」)

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Abstract

In this study, we propose a new systematic approximation method for theoretically analyzing synchronization dynamics exhibited by a general class of self-excited oscillators. In applied mathematics, the phase-reduction method, which enables us to systematically reduce high-dimensional oscillator dynamics to a one-dimensional reduced equation, has been widely used to analyze synchronization dynamics. However, this method has a critical drawback that it can be used only when the forcing applied to the oscillator is sufficiently weak, which hinders many potential applications of this method in mechanical engineering. To overcome this drawback, we propose an extended phase-reduction method that is applicable to self-excited oscillators driven by strong forcing. The method works even if the orbit of the oscillator is deformed largely, as long as the forcing can be decomposed into a slowly varying component and remaining weak fluctuations. Using the proposed method, we theoretically analyze a synchronization phenomenon of self-excited oscillators induced by strong periodic forcing. We also verify the validity and robustness of our method through numerical experiments.

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Details 詳細情報について

  • CRID
    1570009752967321344
  • NII Article ID
    110009979087
  • NII Book ID
    AA11901770
  • ISSN
    13480235
  • Text Lang
    ja
  • Data Source
    • CiNii Articles

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