Noise-induced acceleration and deceleration effects in the van der Pol relaxation oscillator

  • ISOTANI Yohei
    Department of Electrical Engineering, Graduate School of Engineering, Osaka University
  • DOI Shinji
    Department of Electrical Engineering, Graduate School of Engineering, Osaka University
  • KUMAGAI Sadatoshi
    Department of Electrical Engineering, Graduate School of Engineering, Osaka University

Bibliographic Information

Other Title
  • 雑音によって引き起こされる van der Pol 弛張振動子の加速・減速効果について

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Description

Mean periods of the noisy van der Pol oscillator forced by a sinusoidal input are studied in detail. It is shown that noise breaks the phase lockings of the oscillator and accelerates or decelerates the oscillator. The novel definition of stochastic phase lockings using spectra (eigenvalues and eigenfunctions) of a Markov operator which is a natural extention of the deterministic (noise-free) Poincare map is presented and the validity of this definition is verified.

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Details 詳細情報について

  • CRID
    1570572702386793856
  • NII Article ID
    110003292806
  • NII Book ID
    AN10060800
  • Text Lang
    ja
  • Data Source
    • CiNii Articles

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